Pith Number

pith:GTBHTMAU

pith:2016:GTBHTMAU3QKVJSHMM3U5K7XR2B

not attested not anchored not stored refs pending

Combinatorics of the Lipschitz polytope

F. Petrov, J. Gordon

arxiv:1608.06848 v1 · 2016-08-24 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTBHTMAU3QKVJSHMM3U5K7XR2B}

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	2026-05-18T01:07:57.387549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34c279b014dc1554c8ec66e9d57ef1d05e162bc831961db1bbd2b542e0d37a46

Aliases

arxiv: 1608.06848 · arxiv_version: 1608.06848v1 · doi: 10.48550/arxiv.1608.06848 · pith_short_12: GTBHTMAU3QKV · pith_short_16: GTBHTMAU3QKVJSHM · pith_short_8: GTBHTMAU

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/GTBHTMAU3QKVJSHMM3U5K7XR2B \
  | 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: 34c279b014dc1554c8ec66e9d57ef1d05e162bc831961db1bbd2b542e0d37a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aab6faa60337b4a4323cf9d7e558eefa8f7c8c450fdfa2be3d6fda8db9e1f63",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-24T14:50:23Z",
    "title_canon_sha256": "9fdf352bc8a6c767f2cdac343119b35e0dd3eb8db1cb9c3cac3816b2d583ca8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06848",
    "kind": "arxiv",
    "version": 1
  }
}