Pith Number

pith:FP3RICOZ

pith:2015:FP3RICOZ44KLV35FO4UMGW2O2B

not attested not anchored not stored refs pending

Multi-Eulerian tours of directed graphs

Lionel Levine, Matthew Farrell

arxiv:1509.06237 v1 · 2015-09-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FP3RICOZ44KLV35FO4UMGW2O2B}

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	2026-05-18T01:32:35.514465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf71409d9e714baefa57728c35b4ed060421c2b1ffcfccdb6a45ce24443c0b7

Aliases

arxiv: 1509.06237 · arxiv_version: 1509.06237v1 · doi: 10.48550/arxiv.1509.06237 · pith_short_12: FP3RICOZ44KL · pith_short_16: FP3RICOZ44KLV35F · pith_short_8: FP3RICOZ

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/FP3RICOZ44KLV35FO4UMGW2O2B \
  | 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: 2bf71409d9e714baefa57728c35b4ed060421c2b1ffcfccdb6a45ce24443c0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89cc83e0517f169cd08dd51c5aabe0a12e5a66a795ac8df626a0abe7bf63f2a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-21T14:24:10Z",
    "title_canon_sha256": "21971531309c106edc137ec2f00def61f9917f12a8229f580e2bef795d32b951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06237",
    "kind": "arxiv",
    "version": 1
  }
}