Pith Number

pith:BFIPGWQL

pith:2013:BFIPGWQLAZ5RDCNXOFOGUT7GFY

not attested not anchored not stored refs pending

Stability and bifurcation in network traffic flow: A Poincar\'e map approach

Wen-Long Jin

arxiv:1307.7671 v1 · 2013-07-29 · 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{BFIPGWQLAZ5RDCNXOFOGUT7GFY}

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	2026-05-18T03:17:15.193663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0950f35a0b067b1189b7715c6a4fe62e2c1d9c74a1d8c53880077b2451b66535

Aliases

arxiv: 1307.7671 · arxiv_version: 1307.7671v1 · doi: 10.48550/arxiv.1307.7671 · pith_short_12: BFIPGWQLAZ5R · pith_short_16: BFIPGWQLAZ5RDCNX · pith_short_8: BFIPGWQL

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/BFIPGWQLAZ5RDCNXOFOGUT7GFY \
  | 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: 0950f35a0b067b1189b7715c6a4fe62e2c1d9c74a1d8c53880077b2451b66535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addc23b4f7c98c6782e4d36adb1ebad006f69f77e65bf7d157b2e464ace65c42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-29T18:13:16Z",
    "title_canon_sha256": "7cc8d14dfd7912240312d4e2c065a35470a2c3b9e99851e8d5d06eea967e382a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7671",
    "kind": "arxiv",
    "version": 1
  }
}