Pith Number

pith:245T7MLI

pith:2026:245T7MLIRMYA5MDTPL65QLIOVB

not attested not anchored not stored refs pending

Generalized symmetry in the vanishing of Ext

Andrew J. Soto Levins, Paulo Martins, Tatheer Ajani, Victor D. Mendoza Rubio

arxiv:2607.12957 v1 · 2026-07-14 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{245T7MLIRMYA5MDTPL65QLIOVB}

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	2026-07-15T01:22:27.732402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73b3fb1688b300eb0737afdd82d0ea852dd00cd6e4039f03f3b8d2c4af6087c

Aliases

arxiv: 2607.12957 · arxiv_version: 2607.12957v1 · doi: 10.48550/arxiv.2607.12957 · pith_short_12: 245T7MLIRMYA · pith_short_16: 245T7MLIRMYA5MDT · pith_short_8: 245T7MLI

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/245T7MLIRMYA5MDTPL65QLIOVB \
  | 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: d73b3fb1688b300eb0737afdd82d0ea852dd00cd6e4039f03f3b8d2c4af6087c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2171b14e7481e1b8d898ad1efa1d141b1279953d04415a7efdbf3eefdaf9ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-07-14T16:53:55Z",
    "title_canon_sha256": "a2b05e9e56b0610aeebd503e34e0615d8458bb9697f935e146e4a4c895cdfd37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12957",
    "kind": "arxiv",
    "version": 1
  }
}