Pith Number

pith:EAMZ4RKN

pith:2012:EAMZ4RKN5X2X4WW4MBYIOYQGQR

not attested not anchored not stored refs pending

Interleaved equivalence of categories of persistence modules

Mikael Vejdemo-Johansson

arxiv:1210.7913 v1 · 2012-10-30 · math.AT · cs.CG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAMZ4RKN5X2X4WW4MBYIOYQGQR}

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	2026-05-18T03:41:57.671097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20199e454dedf57e5adc607087620684686092feb2f04dc00b7a08c87c5fcd01

Aliases

arxiv: 1210.7913 · arxiv_version: 1210.7913v1 · doi: 10.48550/arxiv.1210.7913 · pith_short_12: EAMZ4RKN5X2X · pith_short_16: EAMZ4RKN5X2X4WW4 · pith_short_8: EAMZ4RKN

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/EAMZ4RKN5X2X4WW4MBYIOYQGQR \
  | 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: 20199e454dedf57e5adc607087620684686092feb2f04dc00b7a08c87c5fcd01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0bbd6cfd05fc97e448de92ebf26bf160e95928dcf1710845ad5c05c19ca4246",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-30T07:13:53Z",
    "title_canon_sha256": "c908b1d2b72620f8edc39883cb7eceb707e2986442197dfeff3aca58c14e5552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7913",
    "kind": "arxiv",
    "version": 1
  }
}