Pith Number

pith:DLM7EUGK

pith:2021:DLM7EUGKNRLBSQDKLJOPMKUE2Y

not attested not anchored not stored refs pending

G-Family Polynomials

Madeline Brown, Sam Nelson

arxiv:2103.02710 v2 · 2021-03-03 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLM7EUGKNRLBSQDKLJOPMKUE2Y}

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	2026-07-05T03:30:51.316433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad9f250ca6c5619406a5a5cf62a84d60f2112c30eaaa43d165259ff2bd3f14b

Aliases

arxiv: 2103.02710 · arxiv_version: 2103.02710v2 · doi: 10.48550/arxiv.2103.02710 · pith_short_12: DLM7EUGKNRLB · pith_short_16: DLM7EUGKNRLBSQDK · pith_short_8: DLM7EUGK

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/DLM7EUGKNRLBSQDKLJOPMKUE2Y \
  | 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: 1ad9f250ca6c5619406a5a5cf62a84d60f2112c30eaaa43d165259ff2bd3f14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177e48363c72dcc6eab12db958fa7816fe2dad8906fa220eaf0859d92ee9841f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-03-03T21:54:14Z",
    "title_canon_sha256": "bde297504e9333e9889951c8e774a8589f6f6f8b715090ce7db6ebf850cbe3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02710",
    "kind": "arxiv",
    "version": 2
  }
}