Pith Number

pith:KRNKA7UB

pith:2015:KRNKA7UBCX2EZ2CS2NOSB5POXV

not attested not anchored not stored refs pending

On a triply graded Khovanov homology

Krzysztof K. Putyra

arxiv:1501.05293 v1 · 2015-01-21 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRNKA7UBCX2EZ2CS2NOSB5POXV}

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	2026-05-18T02:28:55.570197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545aa07e8115f44ce852d35d20f5eebd6be6c54383a1c8dc60ad282bce173e17

Aliases

arxiv: 1501.05293 · arxiv_version: 1501.05293v1 · doi: 10.48550/arxiv.1501.05293 · pith_short_12: KRNKA7UBCX2E · pith_short_16: KRNKA7UBCX2EZ2CS · pith_short_8: KRNKA7UB

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/KRNKA7UBCX2EZ2CS2NOSB5POXV \
  | 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: 545aa07e8115f44ce852d35d20f5eebd6be6c54383a1c8dc60ad282bce173e17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e8ca1a9db2b931d4608d9e0c90e9730fbde2a930c0375d955bf8100865fa15",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-21T20:53:23Z",
    "title_canon_sha256": "b1e4f7a1b6355144d3773d5e1a809181881dc2b0e5235dba3a43965f2b9fb3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05293",
    "kind": "arxiv",
    "version": 1
  }
}