Pith Number

pith:LUMSEDU4

pith:2011:LUMSEDU4W57ORRODZWYZVZVPQT

not attested not anchored not stored refs pending

Necrotic tumor growth: an analytic approach

Martin Kohlmann

arxiv:1104.2445 v2 · 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{LUMSEDU4W57ORRODZWYZVZVPQT}

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	2026-05-18T03:45:32.022708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d19220e9cb77ee8c5c3cdb19ae6af84c57bbb687a67c6d6be16f2f735462013

Aliases

arxiv: 1104.2445 · arxiv_version: 1104.2445v2 · doi: 10.48550/arxiv.1104.2445 · pith_short_12: LUMSEDU4W57O · pith_short_16: LUMSEDU4W57ORROD · pith_short_8: LUMSEDU4

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/LUMSEDU4W57ORRODZWYZVZVPQT \
  | 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: 5d19220e9cb77ee8c5c3cdb19ae6af84c57bbb687a67c6d6be16f2f735462013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d6a6a91ce11717ac2a5bfaea9a5fc14059945ce8d4329f9c78f13a7db5b5f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-13T10:50:35Z",
    "title_canon_sha256": "98d9311d2446d3777b101831d5599f6fd4408f6f304b9806e10dccf2a321c917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2445",
    "kind": "arxiv",
    "version": 2
  }
}