Pith Number

pith:GFCNWAEV

pith:2014:GFCNWAEVL73HUZSB3CL4SH7TLJ

not attested not anchored not stored refs pending

The category of singularities as a crystal and global Springer fibers

D. Arinkin, D. Gaitsgory

arxiv:1412.4394 v3 · 2014-12-14 · 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{GFCNWAEVL73HUZSB3CL4SH7TLJ}

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	2026-05-18T00:45:59.043809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3144db00955ff67a6641d897c91ff35a78ed7080ddc34c325710d80994eb00f9

Aliases

arxiv: 1412.4394 · arxiv_version: 1412.4394v3 · doi: 10.48550/arxiv.1412.4394 · pith_short_12: GFCNWAEVL73H · pith_short_16: GFCNWAEVL73HUZSB · pith_short_8: GFCNWAEV

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/GFCNWAEVL73HUZSB3CL4SH7TLJ \
  | 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: 3144db00955ff67a6641d897c91ff35a78ed7080ddc34c325710d80994eb00f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affe0201e0a18603a07302bb4f7a38e6df8184b93176ab42adb065039e8ef81f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-14T18:54:41Z",
    "title_canon_sha256": "1bf12a134718841b63f0fe6e8d295a35cafdc0da77c3e1852150e0ce6fce73ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4394",
    "kind": "arxiv",
    "version": 3
  }
}