Pith Number

pith:3HA3RWYK

pith:2015:3HA3RWYK4FE7COWTTESA2GIT76

not attested not anchored not stored refs pending

Persistence of Zero Sets

Marek Kr\v{c}\'al, Peter Franek

arxiv:1507.04310 v4 · 2015-07-11 · math.AT · cs.CG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HA3RWYK4FE7COWTTESA2GIT76}

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	2026-05-18T00:46:21.231637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c1b8db0ae149f13ad399240d1913ffac82dc09bb2ca1bf986331da030acb9a

Aliases

arxiv: 1507.04310 · arxiv_version: 1507.04310v4 · doi: 10.48550/arxiv.1507.04310 · pith_short_12: 3HA3RWYK4FE7 · pith_short_16: 3HA3RWYK4FE7COWT · pith_short_8: 3HA3RWYK

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/3HA3RWYK4FE7COWTTESA2GIT76 \
  | 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: d9c1b8db0ae149f13ad399240d1913ffac82dc09bb2ca1bf986331da030acb9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4bf96fe8886127b435d908256e39ab7336f669423dde2a1fcf2ccf03c296ca",
    "cross_cats_sorted": [
      "cs.CG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-11T20:07:40Z",
    "title_canon_sha256": "9f836802f0eddf5be8656bf7876419659470b4f80c3c3711ce89c71eb0f9f3de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04310",
    "kind": "arxiv",
    "version": 4
  }
}