Pith Number

pith:QFORT6VT

pith:2016:QFORT6VTAVXURACDE5KQB4KX5F

not attested not anchored not stored refs pending

1-color-avoiding paths, special tournaments, and incidence geometry

Ben Yang, Jonathan Tidor, Victor Y. Wang

arxiv:1608.04153 v2 · 2016-08-14 · 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{QFORT6VTAVXURACDE5KQB4KX5F}

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	2026-05-18T01:04:02.286529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815d19fab3056f488043275500f157e96a0a695e58302d5d8628cade465fbefe

Aliases

arxiv: 1608.04153 · arxiv_version: 1608.04153v2 · doi: 10.48550/arxiv.1608.04153 · pith_short_12: QFORT6VTAVXU · pith_short_16: QFORT6VTAVXURACD · pith_short_8: QFORT6VT

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/QFORT6VTAVXURACDE5KQB4KX5F \
  | 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: 815d19fab3056f488043275500f157e96a0a695e58302d5d8628cade465fbefe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d19d1f2df5087924696c1036e549986579ae8e55cdc537dafa0a60a0f67b03b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-14T23:19:57Z",
    "title_canon_sha256": "dd88a4ae37a9f5f4b91ebd9cd1da90af8b28689c1957bbc52688b632e86ecc3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04153",
    "kind": "arxiv",
    "version": 2
  }
}