Pith Number

pith:A7ZQRNJM

pith:2011:A7ZQRNJMB5I6VDCHZNRV3EDFYS

not attested not anchored not stored refs pending

Z-set unknotting in uncountable products of reals

Alex Chigogidze

arxiv:1102.1681 v1 · 2011-02-08 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7ZQRNJMB5I6VDCHZNRV3EDFYS}

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	2026-05-18T04:29:52.731489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f308b52c0f51ea8c47cb635d9065c4ab53830a8feb54d7e8235a3981d71b22

Aliases

arxiv: 1102.1681 · arxiv_version: 1102.1681v1 · doi: 10.48550/arxiv.1102.1681 · pith_short_12: A7ZQRNJMB5I6 · pith_short_16: A7ZQRNJMB5I6VDCH · pith_short_8: A7ZQRNJM

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/A7ZQRNJMB5I6VDCHZNRV3EDFYS \
  | 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: 07f308b52c0f51ea8c47cb635d9065c4ab53830a8feb54d7e8235a3981d71b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66bd92fe84db9e357f5f89f4e3e861cb5ff00b81f9df8ae59e19eec2d25fb532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-02-08T18:42:52Z",
    "title_canon_sha256": "0ec481188619de9bc0996fe800431fb0654dbd01e28f06b8b31ceec3af3dd096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1681",
    "kind": "arxiv",
    "version": 1
  }
}