Pith Number

pith:HBTSDJRV

pith:2015:HBTSDJRVDVF74XA2AFME2VCBZQ

not attested not anchored not stored refs pending

Monotone Paths in Dense Edge-Ordered Graphs

Kevin G. Milans

arxiv:1509.02143 v1 · 2015-09-07 · 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{HBTSDJRVDVF74XA2AFME2VCBZQ}

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	2026-05-18T01:33:49.641461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386721a6351d4bfe5c1a01584d5441cc3179b72811a9e013651db0cf296aa889

Aliases

arxiv: 1509.02143 · arxiv_version: 1509.02143v1 · doi: 10.48550/arxiv.1509.02143 · pith_short_12: HBTSDJRVDVF7 · pith_short_16: HBTSDJRVDVF74XA2 · pith_short_8: HBTSDJRV

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/HBTSDJRVDVF74XA2AFME2VCBZQ \
  | 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: 386721a6351d4bfe5c1a01584d5441cc3179b72811a9e013651db0cf296aa889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f9cc8e404d6cfed7a48f379cdf838691003a6e029ca78130498927939b27f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-07T19:08:14Z",
    "title_canon_sha256": "82abca5a4deb8d5bdbfa9eb150bbe7bdf46489dce57be7dc6ed9d1b2ab685127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02143",
    "kind": "arxiv",
    "version": 1
  }
}