Pith Number

pith:YVAHVG66

pith:2015:YVAHVG66LV56VC2VFBTO65IHSB

not attested not anchored not stored refs pending

Group-Walk Random Graphs

Agelos Georgakopoulos

arxiv:1506.02697 v1 · 2015-05-24 · math.PR · 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{YVAHVG66LV56VC2VFBTO65IHSB}

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	2026-05-18T01:55:41.173105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5407a9bde5d7bea8b552866ef7507904b335dd08f471cafa6639b94250c5a1d

Aliases

arxiv: 1506.02697 · arxiv_version: 1506.02697v1 · doi: 10.48550/arxiv.1506.02697 · pith_short_12: YVAHVG66LV56 · pith_short_16: YVAHVG66LV56VC2V · pith_short_8: YVAHVG66

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/YVAHVG66LV56VC2VFBTO65IHSB \
  | 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: c5407a9bde5d7bea8b552866ef7507904b335dd08f471cafa6639b94250c5a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab29d42f3408f645a48b31a11add55b2e5cd993d446fbcfcfb6f3bb9d562c27b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-24T22:48:06Z",
    "title_canon_sha256": "1dab775681fc8c07933a12b90cbbb0ed0638a58fb6ffb48091c8c5d13aae33dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02697",
    "kind": "arxiv",
    "version": 1
  }
}