Pith Number

pith:7Z4CEZ4U

pith:2017:7Z4CEZ4U74AU2AVF2JEOOK543Q

not attested not anchored not stored refs pending

On codimension two embeddings up to link-homotopy

Benjamin Audoux, Emmanuel Wagner, Jean-Baptiste Meilhan

arxiv:1703.07999 v3 · 2017-03-23 · 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{7Z4CEZ4U74AU2AVF2JEOOK543Q}

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	2026-05-18T00:29:01.587699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe78226794ff014d02a5d248e72bbcdc14e7fe37b53c723295abc38a111e9ddb

Aliases

arxiv: 1703.07999 · arxiv_version: 1703.07999v3 · doi: 10.48550/arxiv.1703.07999 · pith_short_12: 7Z4CEZ4U74AU · pith_short_16: 7Z4CEZ4U74AU2AVF · pith_short_8: 7Z4CEZ4U

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/7Z4CEZ4U74AU2AVF2JEOOK543Q \
  | 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: fe78226794ff014d02a5d248e72bbcdc14e7fe37b53c723295abc38a111e9ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7766f12f56c6fdf39a78ee590faad399947c78bcaa0d2848d5c4e075b6f0f733",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-23T10:59:47Z",
    "title_canon_sha256": "c5186483b72978f423e5b6718c42f9961e1ec205a817a711fb468b8f8600d590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07999",
    "kind": "arxiv",
    "version": 3
  }
}