Pith Number

pith:UW5SIA4J

pith:2017:UW5SIA4J2HHK7PFODBKPAKOXAU

not attested not anchored not stored refs pending

Bounds for the Graham-Pollak Theorem for Hypergraphs

Anand Babu, Sundar Vishwanathan

arxiv:1712.06403 v2 · 2017-12-18 · 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{UW5SIA4J2HHK7PFODBKPAKOXAU}

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	2026-05-18T00:27:35.548682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5bb240389d1ceafbcae1854f029d7053f0cb1fe40b08f8f4ed753152829abdf

Aliases

arxiv: 1712.06403 · arxiv_version: 1712.06403v2 · doi: 10.48550/arxiv.1712.06403 · pith_short_12: UW5SIA4J2HHK · pith_short_16: UW5SIA4J2HHK7PFO · pith_short_8: UW5SIA4J

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/UW5SIA4J2HHK7PFODBKPAKOXAU \
  | 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: a5bb240389d1ceafbcae1854f029d7053f0cb1fe40b08f8f4ed753152829abdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e8d5f1daadf6b2ed5ea6b3978962bde9d563f0917b78da8f6623feb6f1fb53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-18T13:56:30Z",
    "title_canon_sha256": "9d028da81e84a38e0fd23c29156e91e6ecf0afb3f5cbd82651e918b551d24323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06403",
    "kind": "arxiv",
    "version": 2
  }
}