Pith Number

pith:SPTYTHLQ

pith:2009:SPTYTHLQOVPZ3KL36BOVSVSHLH

not attested not anchored not stored refs pending

Multiphase modeling and qualitative analysis of the growth of tumor cords

Andrea Tosin

arxiv:0906.5077 v1 · 2009-06-27 · math-ph · math.AP · math.MP · q-bio.TO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPTYTHLQOVPZ3KL36BOVSVSHLH}

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	2026-05-18T04:36:51.349239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e7899d70755f9da97bf05d59564759ddd168199b598e14c9c66b4e171a6e05

Aliases

arxiv: 0906.5077 · arxiv_version: 0906.5077v1 · doi: 10.48550/arxiv.0906.5077 · pith_short_12: SPTYTHLQOVPZ · pith_short_16: SPTYTHLQOVPZ3KL3 · pith_short_8: SPTYTHLQ

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/SPTYTHLQOVPZ3KL36BOVSVSHLH \
  | 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: 93e7899d70755f9da97bf05d59564759ddd168199b598e14c9c66b4e171a6e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620e4223d88f562143775b5f73667f92b92938e3232114f1a4fa09ca13681a8f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "q-bio.TO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-27T13:12:09Z",
    "title_canon_sha256": "a9175ebabb58fdf23a9a85a7cd25c579a244da28efdeccd6311eadcef7187048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5077",
    "kind": "arxiv",
    "version": 1
  }
}