Pith Number

pith:WDFUCSBW

pith:2012:WDFUCSBWH665VPHVBGLQQP65ZQ

not attested not anchored not stored refs pending

Existence and Properties of the State Operator in Dynamic User Equilibrium

Ke Han, Tao Yao, Terry L. Friesz

arxiv:1211.4623 v1 · 2012-11-19 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDFUCSBWH665VPHVBGLQQP65ZQ}

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	2026-05-18T03:40:26.154915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0cb4148363fbddabcf50997083fddcc3dd8b5299f2a896c82b43a4dda7bb0de

Aliases

arxiv: 1211.4623 · arxiv_version: 1211.4623v1 · doi: 10.48550/arxiv.1211.4623 · pith_short_12: WDFUCSBWH665 · pith_short_16: WDFUCSBWH665VPHV · pith_short_8: WDFUCSBW

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/WDFUCSBWH665VPHVBGLQQP65ZQ \
  | 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: b0cb4148363fbddabcf50997083fddcc3dd8b5299f2a896c82b43a4dda7bb0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279a29afc70fc5f90f4bd3bc65066827456a3b3c77f129340d1f9069c6d56c8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-19T23:18:51Z",
    "title_canon_sha256": "6717e9b3b7258a5aac82ed72f4a44590d548a31b479208eb250ebc846859667e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4623",
    "kind": "arxiv",
    "version": 1
  }
}