Pith Number

pith:IYJ3YWWC

pith:2016:IYJ3YWWCTI2MZR3WZHWDLVQ25Q

not attested not anchored not stored refs pending

Paradoxes in Leaky Microbial Trade

Eric Libby, John H. Miller, Yoav Kallus

arxiv:1612.03125 v1 · 2016-12-09 · q-bio.PE · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYJ3YWWCTI2MZR3WZHWDLVQ25Q}

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	2026-05-18T00:26:08.491022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4613bc5ac29a34ccc776c9ec35d61aec363bfb88cb050e39c0a03e293c06db53

Aliases

arxiv: 1612.03125 · arxiv_version: 1612.03125v1 · doi: 10.48550/arxiv.1612.03125 · pith_short_12: IYJ3YWWCTI2M · pith_short_16: IYJ3YWWCTI2MZR3W · pith_short_8: IYJ3YWWC

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/IYJ3YWWCTI2MZR3WZHWDLVQ25Q \
  | 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: 4613bc5ac29a34ccc776c9ec35d61aec363bfb88cb050e39c0a03e293c06db53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb119cbaaf443c50c5d1de434a8f95f51a51e9ce09dcef1db0c4b70f631c066",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-12-09T18:48:19Z",
    "title_canon_sha256": "15c0f626d45f24d6adf13fc8f9e9f0aaae0d1a6f6d6ebbba292d09201d606ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03125",
    "kind": "arxiv",
    "version": 1
  }
}