Pith Number

pith:7DVEZH6W

pith:2013:7DVEZH6WTHS5LVBMPEXGUWHQFZ

not attested not anchored not stored refs pending

Circular handle decompositions of free genus one knots

Enrique Ram\'irez-Losada, Fabiola Manjarrez-Guti\'errez, V\'ictor N\'u\~nez

arxiv:1310.3862 v2 · 2013-10-14 · 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{7DVEZH6WTHS5LVBMPEXGUWHQFZ}

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	2026-05-18T01:22:24.778766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ea4c9fd699e5d5d42c792e6a58f02e55b265e8eeeb0a7bc7bb31ec095134b4

Aliases

arxiv: 1310.3862 · arxiv_version: 1310.3862v2 · doi: 10.48550/arxiv.1310.3862 · pith_short_12: 7DVEZH6WTHS5 · pith_short_16: 7DVEZH6WTHS5LVBM · pith_short_8: 7DVEZH6W

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/7DVEZH6WTHS5LVBMPEXGUWHQFZ \
  | 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: f8ea4c9fd699e5d5d42c792e6a58f02e55b265e8eeeb0a7bc7bb31ec095134b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9172a01477bebd66f605f2eb47278a7021e765e0e39002c793c8cb60aa379f75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-14T21:34:54Z",
    "title_canon_sha256": "3bcacd0837d5220e545f2b86d08e8b868c4148b17f11960ea0c87a31d7a0fd30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3862",
    "kind": "arxiv",
    "version": 2
  }
}