Pith Number

pith:TFPLAYQS

pith:2012:TFPLAYQSH3OCRC7NDMP5AKZWJK

not attested not anchored not stored refs pending

Fractional powers of Dehn twists about nonseparating curves

Kashyap Rajeevsarathy

arxiv:1207.3581 v1 · 2012-07-16 · 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{TFPLAYQSH3OCRC7NDMP5AKZWJK}

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	2026-05-18T03:51:00.704587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995eb062123edc288bed1b1fd02b364aa619c91c3604064154d58623b2473321

Aliases

arxiv: 1207.3581 · arxiv_version: 1207.3581v1 · doi: 10.48550/arxiv.1207.3581 · pith_short_12: TFPLAYQSH3OC · pith_short_16: TFPLAYQSH3OCRC7N · pith_short_8: TFPLAYQS

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/TFPLAYQSH3OCRC7NDMP5AKZWJK \
  | 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: 995eb062123edc288bed1b1fd02b364aa619c91c3604064154d58623b2473321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24f6e4b1defad8a0163f0f590965d201bf822731d08b53322b99041ba0a30c2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-16T05:35:21Z",
    "title_canon_sha256": "0ac76c2dd4a3b59b9a68eb9100f68468607c86f46f0727e6324859671b69bff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3581",
    "kind": "arxiv",
    "version": 1
  }
}