Pith Number

pith:7635S6ID

pith:2009:7635S6IDL3SH7QYYGZCLOYLM5T

not attested not anchored not stored refs pending

Flipping bridge surfaces and bounds on the stable bridge number

Jesse Johnson, Maggy Tomova

arxiv:0908.3690 v2 · 2009-08-25 · 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{7635S6IDL3SH7QYYGZCLOYLM5T}

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	2026-05-18T02:41:51.170712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb7d979035ee47fc3183644b7616cecd3415d77996aa47f50847ebf75d1ded0

Aliases

arxiv: 0908.3690 · arxiv_version: 0908.3690v2 · doi: 10.48550/arxiv.0908.3690 · pith_short_12: 7635S6IDL3SH · pith_short_16: 7635S6IDL3SH7QYY · pith_short_8: 7635S6ID

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/7635S6IDL3SH7QYYGZCLOYLM5T \
  | 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: ffb7d979035ee47fc3183644b7616cecd3415d77996aa47f50847ebf75d1ded0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeef217c3c0de2abe26addd97415f52964946f45e9a1ce6ef35362afada255fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-08-25T21:21:58Z",
    "title_canon_sha256": "ad9be1e5572fefd220247240a88ffc099b3104fff397a0a83e81b132086b698a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3690",
    "kind": "arxiv",
    "version": 2
  }
}