Pith Number

pith:PRLKBFLU

pith:2013:PRLKBFLUCAHVPI7LJWUYC3N27T

not attested not anchored not stored refs pending

Minifolds and Phantoms

Anton Mellit, Evgeny Shinder, Ludmil Katzarkov, Sergey Galkin

arxiv:1305.4549 v2 · 2013-05-20 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRLKBFLUCAHVPI7LJWUYC3N27T}

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	2026-05-18T03:10:14.287721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c56a09574100f57a3eb4da9816dbafcdeefa22f4c278a7cd99e40f311ffc321

Aliases

arxiv: 1305.4549 · arxiv_version: 1305.4549v2 · doi: 10.48550/arxiv.1305.4549 · pith_short_12: PRLKBFLUCAHV · pith_short_16: PRLKBFLUCAHVPI7L · pith_short_8: PRLKBFLU

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/PRLKBFLUCAHVPI7LJWUYC3N27T \
  | 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: 7c56a09574100f57a3eb4da9816dbafcdeefa22f4c278a7cd99e40f311ffc321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db78c989d1e11b03b1df7f59757a1c65ee1b83cc827822cf263210a13659052",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-20T15:05:25Z",
    "title_canon_sha256": "36fc1bca73f69b08f41145d24b4cdb69a829bca5a0bd80f72a852154348111e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4549",
    "kind": "arxiv",
    "version": 2
  }
}