Pith Number

pith:BEZ3IUBV

pith:2026:BEZ3IUBVXPC57DKIYXBGGJQ7ZK

not attested not anchored not stored refs pending

Gromov boundary of the Grand Arc graph

Arya Vadnere, Assaf Bar-Natan, Carolyn Abbott

arxiv:2607.00957 v1 · 2026-07-01 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEZ3IUBVXPC57DKIYXBGGJQ7ZK}

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	2026-07-02T01:18:24.487440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0933b45035bbc5df8d48c5c263261fcaabe8b4195d1e503628c59d152c6b38f5

Aliases

arxiv: 2607.00957 · arxiv_version: 2607.00957v1 · doi: 10.48550/arxiv.2607.00957 · pith_short_12: BEZ3IUBVXPC5 · pith_short_16: BEZ3IUBVXPC57DKI · pith_short_8: BEZ3IUBV

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/BEZ3IUBVXPC57DKIYXBGGJQ7ZK \
  | 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: 0933b45035bbc5df8d48c5c263261fcaabe8b4195d1e503628c59d152c6b38f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee052f856ca20a91d5cf2c3d11748615ac8c0e055d26ed4b13cf70a1b74f17a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-01T13:54:38Z",
    "title_canon_sha256": "898ce9b61d4da2771eee7459688cf13f342bd263a3abe28888edc0c4dd2e1006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00957",
    "kind": "arxiv",
    "version": 1
  }
}