Pith Number

pith:K3NKKPDB

pith:2021:K3NKKPDBC4JLOICVU5TANA26IR

not attested not anchored not stored refs pending

PROBs and perverse sheaves I. Symmetric products

Mikhail Kapranov, Vadim Schechtman

arxiv:2102.13321 v1 · 2021-02-26 · math.CT · 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{K3NKKPDBC4JLOICVU5TANA26IR}

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.

Cited by

1 paper in Pith

From Link Homology to Topological Quantum Field Theories

Receipt and verification

First computed	2026-07-05T02:18:36.238120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56daa53c611712b72055a76606835e4451911ef563afc5dd423e94f9fa92ff1d

Aliases

arxiv: 2102.13321 · arxiv_version: 2102.13321v1 · doi: 10.48550/arxiv.2102.13321 · pith_short_12: K3NKKPDBC4JL · pith_short_16: K3NKKPDBC4JLOICV · pith_short_8: K3NKKPDB

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/K3NKKPDBC4JLOICVU5TANA26IR \
  | 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: 56daa53c611712b72055a76606835e4451911ef563afc5dd423e94f9fa92ff1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb3c0f8c381880fe42a1c82bad4b80e2e365238fc7b9b737966326cd2b4a6650",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-02-26T06:24:58Z",
    "title_canon_sha256": "a8ef5bae71981343035113182e152b0b0ff864be2bd2f3e77d4428084196b578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.13321",
    "kind": "arxiv",
    "version": 1
  }
}