Pith Number

pith:F73MI6ER

pith:2009:F73MI6ERZG53ENG2T2D55DJSGB

not attested not anchored not stored refs pending

Dihedral manifold approximate fibrations over the circle

Bruce Hughes, Qayum Khan

arxiv:0903.1094 v2 · 2009-03-05 · 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{F73MI6ERZG53ENG2T2D55DJSGB}

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	2026-05-18T04:06:17.908654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff6c47891c9bbb234da9e87de8d32304b31dd4bde1084f2dabed475c99ac3d6

Aliases

arxiv: 0903.1094 · arxiv_version: 0903.1094v2 · doi: 10.48550/arxiv.0903.1094 · pith_short_12: F73MI6ERZG53 · pith_short_16: F73MI6ERZG53ENG2 · pith_short_8: F73MI6ER

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/F73MI6ERZG53ENG2T2D55DJSGB \
  | 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: 2ff6c47891c9bbb234da9e87de8d32304b31dd4bde1084f2dabed475c99ac3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2bf900168c37c04986490a1aba8b89158010d9f05cf2155e60380f920fb7fb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-03-05T20:36:41Z",
    "title_canon_sha256": "14f1a68bd9a872299ee86e9be7085402a9253b56e1227226fa83944be5c9804a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1094",
    "kind": "arxiv",
    "version": 2
  }
}