Pith Number

pith:3TTGLIEP

pith:2024:3TTGLIEP5REE3WYN74AGKWZZRX

not attested not anchored not stored refs pending

Cross-feeding percolation phase transitions of inter-cellular metabolic networks

Andrea De Martino, Daniele De Martino, Lu\'is C. F. Latoski

arxiv:2412.09088 v1 · 2024-12-12 · cond-mat.stat-mech · q-bio.CB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TTGLIEP5REE3WYN74AGKWZZRX}

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	2026-07-05T09:48:19.428686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce665a08fec484ddb0dff00655b398dc73bb60a0cc4cfa6ff984b02c62c08c9

Aliases

arxiv: 2412.09088 · arxiv_version: 2412.09088v1 · doi: 10.48550/arxiv.2412.09088 · pith_short_12: 3TTGLIEP5REE · pith_short_16: 3TTGLIEP5REE3WYN · pith_short_8: 3TTGLIEP

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/3TTGLIEP5REE3WYN74AGKWZZRX \
  | 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: dce665a08fec484ddb0dff00655b398dc73bb60a0cc4cfa6ff984b02c62c08c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a590de1df55c184f3f24939cea3168caa39b79e5e66ff61c16f0526f4c770716",
    "cross_cats_sorted": [
      "q-bio.CB"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-12-12T09:15:39Z",
    "title_canon_sha256": "a350585fc5a9c55ac494cfad18c783778bb618b80823a4975e2f215a7e19a1d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09088",
    "kind": "arxiv",
    "version": 1
  }
}