Pith Number

pith:7FAF24TN

pith:2015:7FAF24TN3WWRWSWQR23PY7OJUC

not attested not anchored not stored refs pending

Filling sets of curves on punctured surfaces

Federica Fanoni, Hugo Parlier

arxiv:1508.03503 v1 · 2015-08-14 · 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{7FAF24TN3WWRWSWQR23PY7OJUC}

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	2026-05-18T01:35:17.586400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9405d726dddad1b4ad08eb6fc7dc9a0967803a54b10a5286348825a92346bbe

Aliases

arxiv: 1508.03503 · arxiv_version: 1508.03503v1 · doi: 10.48550/arxiv.1508.03503 · pith_short_12: 7FAF24TN3WWR · pith_short_16: 7FAF24TN3WWRWSWQ · pith_short_8: 7FAF24TN

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/7FAF24TN3WWRWSWQR23PY7OJUC \
  | 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: f9405d726dddad1b4ad08eb6fc7dc9a0967803a54b10a5286348825a92346bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104e9d36778a83cde3d56117ab0ca794256633fd46caebac8cfa6cd4fdbc1dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-14T13:57:42Z",
    "title_canon_sha256": "071a5dbf6867c11c9a728646bf7b1799bc457fe501cc44cfaf642477cc3b158f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03503",
    "kind": "arxiv",
    "version": 1
  }
}