Pith Number

pith:UMAII2TF

pith:2016:UMAII2TFI725MQH32M4K7IYYCA

not attested not anchored not stored refs pending

Mathematical control theory, the immune system, and cancer

Augusto Gonzalez

arxiv:1602.06981 v4 · 2016-02-22 · 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{UMAII2TFI725MQH32M4K7IYYCA}

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	2026-05-18T01:11:17.602441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a300846a6547f5d640fbd338afa3181037fa92e049207cb57846217eb8c3bbe4

Aliases

arxiv: 1602.06981 · arxiv_version: 1602.06981v4 · doi: 10.48550/arxiv.1602.06981 · pith_short_12: UMAII2TFI725 · pith_short_16: UMAII2TFI725MQH3 · pith_short_8: UMAII2TF

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/UMAII2TFI725MQH32M4K7IYYCA \
  | 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: a300846a6547f5d640fbd338afa3181037fa92e049207cb57846217eb8c3bbe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47cfd2ea4aa102af8393b589311feb75a06b05f62c6da7c854ddbaf98b85e60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2016-02-22T21:54:30Z",
    "title_canon_sha256": "6016a74d550911ae9870a0269c33787e1b73134f7480088c70a74d3c99e4bfe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06981",
    "kind": "arxiv",
    "version": 4
  }
}