Pith Number

pith:W7ON3PTQ

pith:2022:W7ON3PTQPQACKSFJARPQCEZ5LD

not attested not anchored not stored refs pending

Stability of concordance embeddings

Alexander Kupers, Manuel Krannich, Thomas Goodwillie

arxiv:2207.13216 v2 · 2022-07-26 · math.AT · 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{W7ON3PTQPQACKSFJARPQCEZ5LD}

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	2026-07-05T10:42:32.777239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7dcddbe707c002548a9045f01133d58eac3cbec74bff36b7e5ba1035ad026af

Aliases

arxiv: 2207.13216 · arxiv_version: 2207.13216v2 · doi: 10.48550/arxiv.2207.13216 · pith_short_12: W7ON3PTQPQAC · pith_short_16: W7ON3PTQPQACKSFJ · pith_short_8: W7ON3PTQ

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/W7ON3PTQPQACKSFJARPQCEZ5LD \
  | 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: b7dcddbe707c002548a9045f01133d58eac3cbec74bff36b7e5ba1035ad026af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff221f79c5c69b0a4580d329586d2b1531a508fad3a483f165e95af8289359e6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-07-26T23:49:32Z",
    "title_canon_sha256": "6e04cea345b4c71e7c8e0d498e43302789561537c59bde604b2718554c1476d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.13216",
    "kind": "arxiv",
    "version": 2
  }
}