Pith Number

pith:TNL4WNVK

pith:2026:TNL4WNVKHGKXGO2H625DAYG4XC

not attested not anchored not stored refs pending

Honeycombs and Sums of Hermitian Matrices, Revisited

Alexander Postnikov, Ankur Moitra, Dora Woodruff

arxiv:2607.06710 v1 · 2026-07-07 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNL4WNVKHGKXGO2H625DAYG4XC}

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	2026-07-09T00:19:24.193507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b57cb36aa3995733b47f6ba3060dcb8aecf0e4f4c6ea999da4cb86b135e8d4d

Aliases

arxiv: 2607.06710 · arxiv_version: 2607.06710v1 · doi: 10.48550/arxiv.2607.06710 · pith_short_12: TNL4WNVKHGKX · pith_short_16: TNL4WNVKHGKXGO2H · pith_short_8: TNL4WNVK

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/TNL4WNVKHGKXGO2H625DAYG4XC \
  | 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: 9b57cb36aa3995733b47f6ba3060dcb8aecf0e4f4c6ea999da4cb86b135e8d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235600285298bca397ee7f75d78e8a0236f10ed8b7f7ca8a69e90ea9290d2d01",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T18:25:15Z",
    "title_canon_sha256": "e20db25d3c78b6a9f9abb215f67b6348cb63decf54bad1776a4fe78595acd118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06710",
    "kind": "arxiv",
    "version": 1
  }
}