Pith Number

pith:UTK4G5I5

pith:2015:UTK4G5I5TSBW46OJLFTAUVRFJP

not attested not anchored not stored refs pending

Helly's Theorem: New Variations and Applications

Jes\'us A. De Loera, Nina Amenta, Pablo Sober\'on

arxiv:1508.07606 v2 · 2015-08-30 · math.MG · 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{UTK4G5I5TSBW46OJLFTAUVRFJP}

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	2026-05-18T01:08:29.031590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d5c3751d9c836e79c959660a56254bea0ff72b063c43d3db2ee63fb32e4737

Aliases

arxiv: 1508.07606 · arxiv_version: 1508.07606v2 · doi: 10.48550/arxiv.1508.07606 · pith_short_12: UTK4G5I5TSBW · pith_short_16: UTK4G5I5TSBW46OJ · pith_short_8: UTK4G5I5

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/UTK4G5I5TSBW46OJLFTAUVRFJP \
  | 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: a4d5c3751d9c836e79c959660a56254bea0ff72b063c43d3db2ee63fb32e4737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c86071e532e1edb190d70a4d0179751d67a2ac083b340b3fb5f6e5d9295875",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-30T17:46:00Z",
    "title_canon_sha256": "ce0ccb9be6bd9f77bb26859095e3afa4c60b7cbcd168d31b04579b8270c51f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07606",
    "kind": "arxiv",
    "version": 2
  }
}