Pith Number

pith:ITRTYN4T

pith:1999:ITRTYN4T42DBGUQFAQBKCFJV5N

not attested not anchored not stored refs pending

Collapsing Bacterial Cylinders

(2) Department of Mathematics, Harvard University, M. D. Betterton (1), Michael P. Brenner (2) ((1) Department of Physics, MIT)

arxiv:physics/9908039 v2 · 1999-08-20 · physics.bio-ph · cond-mat.soft · nlin.PS · patt-sol

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITRTYN4T42DBGUQFAQBKCFJV5N}

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	2026-05-18T04:08:52.543282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e33c3793e6861352050402a11535eb41fcd8d1209784d772d86e6db7a55e14

Aliases

arxiv: physics/9908039 · arxiv_version: physics/9908039v2 · doi: 10.48550/arxiv.physics/9908039 · pith_short_12: ITRTYN4T42DB · pith_short_16: ITRTYN4T42DBGUQF · pith_short_8: ITRTYN4T

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/ITRTYN4T42DBGUQFAQBKCFJV5N \
  | 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: 44e33c3793e6861352050402a11535eb41fcd8d1209784d772d86e6db7a55e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a164d8c4fd8e7ea8d8f3c96709ce403d50c323f479ba6de4021d973264b6651",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "nlin.PS",
      "patt-sol"
    ],
    "license": "",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "1999-08-20T15:39:12Z",
    "title_canon_sha256": "d746485acdfebb722eeaf4c4f4cec258cb0239afbc77fcc7130dfffa5cfd3586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9908039",
    "kind": "arxiv",
    "version": 2
  }
}