Pith Number

pith:CQ7D5O2C

pith:2011:CQ7D5O2CB4ZFH5N3AMRHFA3L5B

not attested not anchored not stored refs pending

A note on a multi-layer tumor growth model

Martin Kohlmann

arxiv:1104.2441 v3 · 2011-04-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQ7D5O2CB4ZFH5N3AMRHFA3L5B}

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	2026-05-18T03:58:05.145592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143e3ebb420f3253f5bb032272836be840ee207d7a48512bb7aac1ee5c6905e7

Aliases

arxiv: 1104.2441 · arxiv_version: 1104.2441v3 · doi: 10.48550/arxiv.1104.2441 · pith_short_12: CQ7D5O2CB4ZF · pith_short_16: CQ7D5O2CB4ZFH5N3 · pith_short_8: CQ7D5O2C

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/CQ7D5O2CB4ZFH5N3AMRHFA3L5B \
  | 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: 143e3ebb420f3253f5bb032272836be840ee207d7a48512bb7aac1ee5c6905e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f332fe0b8fe9e8aa0c7597d2aa64d77b6df9e1d23cd314bdd28562f5759d67c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-13T10:43:51Z",
    "title_canon_sha256": "e083852c5a0afeb1f8412d98b8ce4e1a2a9b30ecb2e7bcdad1ef77083f9fa5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2441",
    "kind": "arxiv",
    "version": 3
  }
}