Pith Number

pith:BLKD2DC2

pith:2017:BLKD2DC2SGZ3RQ4QRNHXPSWZYO

not attested not anchored not stored refs pending

Graphs with prescribed local neighborhoods of their universal coverings

Charles Bordenave, Simon Coste

arxiv:1712.03520 v1 · 2017-12-10 · 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{BLKD2DC2SGZ3RQ4QRNHXPSWZYO}

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	2026-05-18T00:28:20.974513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad43d0c5a91b3b8c3908b4f77cad9c399c1db2556cca7362a7cc5290509849f

Aliases

arxiv: 1712.03520 · arxiv_version: 1712.03520v1 · doi: 10.48550/arxiv.1712.03520 · pith_short_12: BLKD2DC2SGZ3 · pith_short_16: BLKD2DC2SGZ3RQ4Q · pith_short_8: BLKD2DC2

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/BLKD2DC2SGZ3RQ4QRNHXPSWZYO \
  | 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: 0ad43d0c5a91b3b8c3908b4f77cad9c399c1db2556cca7362a7cc5290509849f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57019ef95922f9392c2ee7a98f4526ee6bceba46c9669b5830a509038c1c97f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-10T13:01:22Z",
    "title_canon_sha256": "4b4040cc6c080c3bdd062c2df0e29c1a08dacf30c61a48c4ffde5910485294fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03520",
    "kind": "arxiv",
    "version": 1
  }
}