Pith Number

pith:HYSATB7F

pith:2012:HYSATB7FCMY5D4Z6O6TJHIQP2G

not attested not anchored not stored refs pending

Characterizing slopes for torus knots

Xingru Zhang, Yi Ni

arxiv:1206.5577 v2 · 2012-06-25 · 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{HYSATB7FCMY5D4Z6O6TJHIQP2G}

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	2026-05-18T02:41:43.073555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e240987e51331d1f33e77a693a20fd1ba6aa48d933c7898d3bd8e44f1e5cd45

Aliases

arxiv: 1206.5577 · arxiv_version: 1206.5577v2 · doi: 10.48550/arxiv.1206.5577 · pith_short_12: HYSATB7FCMY5 · pith_short_16: HYSATB7FCMY5D4Z6 · pith_short_8: HYSATB7F

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/HYSATB7FCMY5D4Z6O6TJHIQP2G \
  | 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: 3e240987e51331d1f33e77a693a20fd1ba6aa48d933c7898d3bd8e44f1e5cd45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad9fb1a1ff6301b859ae96c72155e2d8aedbc14ad78491b4d4a0e66ed05684d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-25T05:36:43Z",
    "title_canon_sha256": "34d002e0474af9591fff0720bbe9fa2d818f07dbfea0ca54aa9961046438e236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5577",
    "kind": "arxiv",
    "version": 2
  }
}