Pith Number

pith:BGTRRECE

pith:2022:BGTRRECEKYEC523JYMYMU5P6JR

not attested not anchored not stored refs pending

Categorical absorptions of singularities and degenerations

Alexander Kuznetsov, Evgeny Shinder

arxiv:2207.06477 v5 · 2022-07-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGTRRECEKYEC523JYMYMU5P6JR}

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	2026-05-20T14:03:15.767040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a718904456082eeb69c330ca75fe4c620578d76fa229ad790c2e4dabd8c158

Aliases

arxiv: 2207.06477 · arxiv_version: 2207.06477v5 · doi: 10.48550/arxiv.2207.06477 · pith_short_12: BGTRRECEKYEC · pith_short_16: BGTRRECEKYEC523J · pith_short_8: BGTRRECE

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/BGTRRECEKYEC523JYMYMU5P6JR \
  | 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: 09a718904456082eeb69c330ca75fe4c620578d76fa229ad790c2e4dabd8c158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a8588efaec0f395dbc9791b418b12f61e4465613a52212d5f2284fe7d2b314",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-07-13T18:56:34Z",
    "title_canon_sha256": "9ed5d1bb506ab20d3bbcb434a7f59ee8c52c5c4e9f542ef2965d88eb5a0e1598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06477",
    "kind": "arxiv",
    "version": 5
  }
}