Pith Number

pith:EFXPBEMI

pith:2014:EFXPBEMIJQFGO7ERB6OUS7Q3RT

not attested not anchored not stored refs pending

Signatures, lifts, and eigenvalues of graphs

Alina Vdovina, Norbert Peyerimhoff, Shiping Liu

arxiv:1412.6841 v1 · 2014-12-21 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFXPBEMIJQFGO7ERB6OUS7Q3RT}

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	2026-05-18T02:30:46.106641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216ef091884c0a677c910f9d497e1b8ccf1723b0e0784567ce36bcb7369e871b

Aliases

arxiv: 1412.6841 · arxiv_version: 1412.6841v1 · doi: 10.48550/arxiv.1412.6841 · pith_short_12: EFXPBEMIJQFG · pith_short_16: EFXPBEMIJQFGO7ER · pith_short_8: EFXPBEMI

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/EFXPBEMIJQFGO7ERB6OUS7Q3RT \
  | 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: 216ef091884c0a677c910f9d497e1b8ccf1723b0e0784567ce36bcb7369e871b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e52911f928bccb04b8b7ee817d34ee77cf5e4c0506ab73a9b56cae3db9950184",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-21T22:55:40Z",
    "title_canon_sha256": "91c53796fa071aaf609595829671338122bb21ea8c6db75c599f5819e3981a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6841",
    "kind": "arxiv",
    "version": 1
  }
}