Pith Number

pith:TEBMOODP

pith:2011:TEBMOODPYGVETB4LSDVPO23TFC

not attested not anchored not stored refs pending

Graham's Tree Reconstruction Conjecture and a Waring-Type Problem on Partitions

Anton Swifton, Bill Kay, Joshua Cooper

arxiv:1109.0522 v2 · 2011-09-02 · 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{TEBMOODPYGVETB4LSDVPO23TFC}

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	2026-05-18T00:36:48.252003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9902c7386fc1aa49878b90eaf76b732892bfbf1faaf009860a88d483e6fbeeba

Aliases

arxiv: 1109.0522 · arxiv_version: 1109.0522v2 · doi: 10.48550/arxiv.1109.0522 · pith_short_12: TEBMOODPYGVE · pith_short_16: TEBMOODPYGVETB4L · pith_short_8: TEBMOODP

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/TEBMOODPYGVETB4LSDVPO23TFC \
  | 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: 9902c7386fc1aa49878b90eaf76b732892bfbf1faaf009860a88d483e6fbeeba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2cce0b746d0ea908c34db8ea9b2b6d64b19e2a3e9e3f234b9cbba4dbaed10c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-02T19:08:27Z",
    "title_canon_sha256": "fcfcb734fe0558312287bd03986236d32444fd08450d131e7a5c7b8eeedccea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0522",
    "kind": "arxiv",
    "version": 2
  }
}