Pith Number

pith:JE2XZ472

pith:2016:JE2XZ47272N5BYYW6LG2CQUNIS

not attested not anchored not stored refs pending

Bifurcation Analysis in a Continuous-Time Information Model with Discrete and Distributed Delays

Fangzhi Yu, Jingli Ren

arxiv:1610.07856 v1 · 2016-10-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE2XZ47272N5BYYW6LG2CQUNIS}

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	2026-05-18T01:01:17.374086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49357cf3fafe9bd0e316f2cda1428d44820b788ba6fddba3646d684f258c5252

Aliases

arxiv: 1610.07856 · arxiv_version: 1610.07856v1 · doi: 10.48550/arxiv.1610.07856 · pith_short_12: JE2XZ47272N5 · pith_short_16: JE2XZ47272N5BYYW · pith_short_8: JE2XZ472

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/JE2XZ47272N5BYYW6LG2CQUNIS \
  | 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: 49357cf3fafe9bd0e316f2cda1428d44820b788ba6fddba3646d684f258c5252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f46352ed5d85bc16f42a71baf4c3ecc4e5149ed42065e752e3c8953726903c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-20T05:25:05Z",
    "title_canon_sha256": "85c71fceed3123baa9bb35cd6c218f1e032408733d6a52d833e12747da835a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07856",
    "kind": "arxiv",
    "version": 1
  }
}