Pith Number

pith:67WEZOR7

pith:2012:67WEZOR7MEPWFDDPAYTHT6YLTL

not attested not anchored not stored refs pending

A Combinatorial Polynomial Algorithm for the Linear Arrow-Debreu Market

Kurt Mehlhorn, Ran Duan

arxiv:1212.0979 v3 · 2012-12-05 · cs.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{67WEZOR7MEPWFDDPAYTHT6YLTL}

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	2026-05-18T02:55:48.598760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ec4cba3f611f628c6f062679fb0b9adc3ab325b60877f8822f2fd28a83c3b4

Aliases

arxiv: 1212.0979 · arxiv_version: 1212.0979v3 · doi: 10.48550/arxiv.1212.0979 · pith_short_12: 67WEZOR7MEPW · pith_short_16: 67WEZOR7MEPWFDDP · pith_short_8: 67WEZOR7

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/67WEZOR7MEPWFDDPAYTHT6YLTL \
  | 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: f7ec4cba3f611f628c6f062679fb0b9adc3ab325b60877f8822f2fd28a83c3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb65704a3e3a0557cd5976d8404511dc5dea6ca7521c28ef55970e212cf9471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-12-05T09:37:13Z",
    "title_canon_sha256": "f0b034d55d1dd3f671ffd425056a8fa67c57e0f8b2db28e0f0f0f7e9d699ac6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0979",
    "kind": "arxiv",
    "version": 3
  }
}