Pith Number

pith:ZDGDRY2D

pith:2024:ZDGDRY2DYMIK5HVETOF2DYGMJZ

not attested not anchored not stored refs pending

Stability of Hypergraph Invariants and Transformations

Ethan Semrad, Tom Needham

arxiv:2412.02020 v1 · 2024-12-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDGDRY2DYMIK5HVETOF2DYGMJZ}

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	2026-07-05T09:43:42.478068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8cc38e343c310ae9ea49b8ba1e0cc4e66ae77e075720113d0ab0cbb543d2e33

Aliases

arxiv: 2412.02020 · arxiv_version: 2412.02020v1 · doi: 10.48550/arxiv.2412.02020 · pith_short_12: ZDGDRY2DYMIK · pith_short_16: ZDGDRY2DYMIK5HVE · pith_short_8: ZDGDRY2D

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/ZDGDRY2DYMIK5HVETOF2DYGMJZ \
  | 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: c8cc38e343c310ae9ea49b8ba1e0cc4e66ae77e075720113d0ab0cbb543d2e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9937a2fc30a04d78621136fb79d901c89cbc5b3b7e2df37ae01bc4316ffe54f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-12-02T22:47:37Z",
    "title_canon_sha256": "8f021463c8a3cfbc8893ffddcf182194ff1a3fd25cc66c5a38b1a687f6a44d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02020",
    "kind": "arxiv",
    "version": 1
  }
}