Pith Number

pith:W26TS7PG

pith:2009:W26TS7PGTX7TKZJEK2ZGCOXH75

not attested not anchored not stored refs pending

Parasurface groups

K. Bou-Rabee

arxiv:0908.1808 v1 · 2009-08-12 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W26TS7PGTX7TKZJEK2ZGCOXH75}

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	2026-05-18T03:40:26.000013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6bd397de69dff35652456b2613ae7ff6358339f313645c1d6186d01e05414c4

Aliases

arxiv: 0908.1808 · arxiv_version: 0908.1808v1 · doi: 10.48550/arxiv.0908.1808 · pith_short_12: W26TS7PGTX7T · pith_short_16: W26TS7PGTX7TKZJE · pith_short_8: W26TS7PG

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/W26TS7PGTX7TKZJEK2ZGCOXH75 \
  | 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: b6bd397de69dff35652456b2613ae7ff6358339f313645c1d6186d01e05414c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9778b063d91d9ffbc48fbb44b1658e2640d760df0d8be9284d6be424a21ebaa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-08-12T23:13:27Z",
    "title_canon_sha256": "62ab26f29fde94ce19c7e896fad826b97bcc92a12a013ed4836fd423fe8fd190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1808",
    "kind": "arxiv",
    "version": 1
  }
}