Pith Number

pith:AIWXFYOA

pith:2019:AIWXFYOAPVZJ4BTLEVBIIUQ26S

not attested not anchored not stored refs pending

Sharp thresholds for nonlinear Hamiltonian cycles in hypergraphs

Bhargav Narayanan, Mathias Schacht

arxiv:1906.05142 v1 · 2019-06-12 · 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{AIWXFYOAPVZJ4BTLEVBIIUQ26S}

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	2026-05-17T23:43:29.353035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022d72e1c07d729e066b254284521af4a9dc663d8beacb941c3d4ccb6b8f453c

Aliases

arxiv: 1906.05142 · arxiv_version: 1906.05142v1 · doi: 10.48550/arxiv.1906.05142 · pith_short_12: AIWXFYOAPVZJ · pith_short_16: AIWXFYOAPVZJ4BTL · pith_short_8: AIWXFYOA

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/AIWXFYOAPVZJ4BTLEVBIIUQ26S \
  | 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: 022d72e1c07d729e066b254284521af4a9dc663d8beacb941c3d4ccb6b8f453c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82e208858886ae2beeef7a79f7f59fddb3732ebf45790907b3504ceb9eac127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-12T13:58:57Z",
    "title_canon_sha256": "1a4ec94d8948e3635beacb9acac7447cb91988eed94d5bebeb0fac9a0369fd84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05142",
    "kind": "arxiv",
    "version": 1
  }
}