Pith Number

pith:4SZMC3KZ

pith:2015:4SZMC3KZLOPTEZY4EJRT2LXPRL

not attested not anchored not stored refs pending

Scaling and optimal synergy: Two principles determining microbial growth in complex media

Francesco Alessandro Massucci, Lu\'is A. Nunes Amaral, Marta Sales-Pardo, Roger Guimer\`a

arxiv:1507.01463 v1 · 2015-07-06 · physics.bio-ph · cond-mat.other · q-bio.CB · q-bio.MN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SZMC3KZLOPTEZY4EJRT2LXPRL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:09:46.463975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b2c16d595b9f32671c22633d2eef8af0bcfccbc8b1b3ee16e71b60908950d7

Aliases

arxiv: 1507.01463 · arxiv_version: 1507.01463v1 · doi: 10.48550/arxiv.1507.01463 · pith_short_12: 4SZMC3KZLOPT · pith_short_16: 4SZMC3KZLOPTEZY4 · pith_short_8: 4SZMC3KZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4SZMC3KZLOPTEZY4EJRT2LXPRL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e4b2c16d595b9f32671c22633d2eef8af0bcfccbc8b1b3ee16e71b60908950d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12f68d737ba31f6909d5127ed3d5e7435835854c082a6db8c54b72ae4ec5bdf",
    "cross_cats_sorted": [
      "cond-mat.other",
      "q-bio.CB",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2015-07-06T13:53:51Z",
    "title_canon_sha256": "de8cc0276c12304751a94ac210a37fe55cafc32ae325ff409bd628b72eea37c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01463",
    "kind": "arxiv",
    "version": 1
  }
}