Pith Number

pith:PC6AOGKY

pith:2012:PC6AOGKYNIDUYBR3FQ77PFVLCN

not attested not anchored not stored refs pending

Field theories, stable homotopy theory and Khovanov homology

Daniel Kriz, Igor Kriz, Po Hu

arxiv:1203.4773 v2 · 2012-03-21 · math.GT · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC6AOGKYNIDUYBR3FQ77PFVLCN}

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	2026-05-18T01:25:16.573508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bc0719586a074c063b2c3ff796ab1346239a3ee7b7158424e0d91ecc1cde61

Aliases

arxiv: 1203.4773 · arxiv_version: 1203.4773v2 · doi: 10.48550/arxiv.1203.4773 · pith_short_12: PC6AOGKYNIDU · pith_short_16: PC6AOGKYNIDUYBR3 · pith_short_8: PC6AOGKY

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/PC6AOGKYNIDUYBR3FQ77PFVLCN \
  | 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: 78bc0719586a074c063b2c3ff796ab1346239a3ee7b7158424e0d91ecc1cde61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e9ce8b39a0259a7c91d07e06a64692b50105f1d86cd98e277311fc43791d72b",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-21T16:18:05Z",
    "title_canon_sha256": "1d7adcb2bb22c31120adb8bb520b3bcc2d580f819a79986ad540321174e0b885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4773",
    "kind": "arxiv",
    "version": 2
  }
}