Pith Number

pith:KEZSEQOQ

pith:2019:KEZSEQOQGFOU7E2SQ3XOULMPA2

not attested not anchored not stored refs pending

Giant descendant trees, matchings and independent sets in the age-biased attachment graphs

Alan Frieze, Boris Pittel, Huseyin Acan

arxiv:1908.02407 v2 · 2019-08-07 · 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{KEZSEQOQGFOU7E2SQ3XOULMPA2}

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	2026-07-05T01:51:05.130446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51332241d0315d4f935286eeea2d8f06853d665ce0a2d1b92ea6dade0ae2e27b

Aliases

arxiv: 1908.02407 · arxiv_version: 1908.02407v2 · doi: 10.48550/arxiv.1908.02407 · pith_short_12: KEZSEQOQGFOU · pith_short_16: KEZSEQOQGFOU7E2S · pith_short_8: KEZSEQOQ

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/KEZSEQOQGFOU7E2SQ3XOULMPA2 \
  | 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: 51332241d0315d4f935286eeea2d8f06853d665ce0a2d1b92ea6dade0ae2e27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf082352ce55157986fb9e18134864373f8995973f9d1679900433d2a851ff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-07T00:24:15Z",
    "title_canon_sha256": "c50b955cebcc9fdb45fe3c3e723688b6e6255a1af87702585374949383598cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02407",
    "kind": "arxiv",
    "version": 2
  }
}