Pith Number

pith:DTN3HCCP

pith:2015:DTN3HCCPYJFX5MIT55MR667ILY

not attested not anchored not stored refs pending

Walk-powers and homomorphism bound of planar graphs

Qiang Sun, Reza Naserasr, Sagnik Sen

arxiv:1501.05089 v1 · 2015-01-21 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTN3HCCPYJFX5MIT55MR667ILY}

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	2026-05-18T02:29:00.776165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cdbb3884fc24b7eb113ef591f7be85e3b9485dbca2c5298e030b430d9654d6d

Aliases

arxiv: 1501.05089 · arxiv_version: 1501.05089v1 · doi: 10.48550/arxiv.1501.05089 · pith_short_12: DTN3HCCPYJFX · pith_short_16: DTN3HCCPYJFX5MIT · pith_short_8: DTN3HCCP

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/DTN3HCCPYJFX5MIT55MR667ILY \
  | 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: 1cdbb3884fc24b7eb113ef591f7be85e3b9485dbca2c5298e030b430d9654d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7ec03cd859b58ed7c7787deb60bfe31ed6a6892539ef4baff5cd55df5312d6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-21T08:22:39Z",
    "title_canon_sha256": "8363deceb3a925e43ab7e876c8113e7a06df1058c940262dce6113fc47ee69dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05089",
    "kind": "arxiv",
    "version": 1
  }
}