Pith Number

pith:AOQFD57A

pith:2013:AOQFD57ANRDJUCVZMU2NA5YTRL

not attested not anchored not stored refs pending

Obstructing finite surgery

Margaret I. Doig

arxiv:1302.6130 v1 · 2013-02-25 · 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{AOQFD57ANRDJUCVZMU2NA5YTRL}

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	2026-05-18T03:32:32.502350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03a051f7e06c469a0ab96534d077138adb0fcf66f0ff4f19ff28f6fc1df19eb0

Aliases

arxiv: 1302.6130 · arxiv_version: 1302.6130v1 · doi: 10.48550/arxiv.1302.6130 · pith_short_12: AOQFD57ANRDJ · pith_short_16: AOQFD57ANRDJUCVZ · pith_short_8: AOQFD57A

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/AOQFD57ANRDJUCVZMU2NA5YTRL \
  | 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: 03a051f7e06c469a0ab96534d077138adb0fcf66f0ff4f19ff28f6fc1df19eb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc17bd064facee5f573d2805250270adb0aa01891e45e165356f0bed7db330ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-25T15:50:25Z",
    "title_canon_sha256": "ce6d4946db785a47dca96d526084cae733f95cf1dfa4ef287220707ce33de9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6130",
    "kind": "arxiv",
    "version": 1
  }
}