Pith Number

pith:MS4HS7M4

pith:2016:MS4HS7M4UYXFP63HCX6A44NQQE

not attested not anchored not stored refs pending

Adding random edges to dense graphs

Alan Frieze, Michael Krivelevich, Ryan R. Martin, Tom Bohman

arxiv:1605.07237 v1 · 2016-05-23 · 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{MS4HS7M4UYXFP63HCX6A44NQQE}

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	2026-05-18T01:13:46.600351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b8797d9ca62e57fb6715fc0e71b0811a862e33219368ec1cfab2764b41064b

Aliases

arxiv: 1605.07237 · arxiv_version: 1605.07237v1 · doi: 10.48550/arxiv.1605.07237 · pith_short_12: MS4HS7M4UYXF · pith_short_16: MS4HS7M4UYXFP63H · pith_short_8: MS4HS7M4

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/MS4HS7M4UYXFP63HCX6A44NQQE \
  | 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: 64b8797d9ca62e57fb6715fc0e71b0811a862e33219368ec1cfab2764b41064b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6407b906babc34029793e7660f2d3212fdebe352d541d9928af83f56b3d9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-23T23:18:48Z",
    "title_canon_sha256": "aa3d830010c8d056cd755a94c3f4f38438c4effc0a1bee08e50000ae6e9e8b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07237",
    "kind": "arxiv",
    "version": 1
  }
}