Pith Number

pith:XV6K6QBF

pith:2019:XV6K6QBFTLEC6AZYP3HTQCLVEA

not attested not anchored not stored refs pending

Dynamical Behaviors of the Tumor-immune System in a Stochastic Environment

Chenggui Yuan, Guoting Song, Xiaoyue Li, Yang Xia

arxiv:1902.00722 v1 · 2019-02-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XV6K6QBFTLEC6AZYP3HTQCLVEA}

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	2026-05-17T23:54:42.330472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd7caf40259ac82f03387ecf38097520157ac3a03bfc2a3022df32b1e16d063e

Aliases

arxiv: 1902.00722 · arxiv_version: 1902.00722v1 · doi: 10.48550/arxiv.1902.00722 · pith_short_12: XV6K6QBFTLEC · pith_short_16: XV6K6QBFTLEC6AZY · pith_short_8: XV6K6QBF

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/XV6K6QBFTLEC6AZYP3HTQCLVEA \
  | 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: bd7caf40259ac82f03387ecf38097520157ac3a03bfc2a3022df32b1e16d063e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f94e95726c42b23d7014b56a0f2a1e56ebf883055ea524b0763b85276f519aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-02T13:58:27Z",
    "title_canon_sha256": "8d637721744a91bc635de78b6333c22ea16c478688626f4be4d3a7fa8c39352e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00722",
    "kind": "arxiv",
    "version": 1
  }
}