Pith Number

pith:TCK6EO5T

pith:2009:TCK6EO5TBR3TKSLIW42MO4NIAM

not attested not anchored not stored refs pending

Cross curvature flow on a negatively curved solid torus

Andrea Young, Dan Knopf, Jason DeBlois

arxiv:0906.4592 v1 · 2009-06-25 · math.DG · 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{TCK6EO5TBR3TKSLIW42MO4NIAM}

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	2026-05-18T02:41:51.213819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9895e23bb30c77354968b734c771a8030c50ec1abee4f0663fde5ee0553ecbe0

Aliases

arxiv: 0906.4592 · arxiv_version: 0906.4592v1 · doi: 10.48550/arxiv.0906.4592 · pith_short_12: TCK6EO5TBR3T · pith_short_16: TCK6EO5TBR3TKSLI · pith_short_8: TCK6EO5T

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/TCK6EO5TBR3TKSLIW42MO4NIAM \
  | 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: 9895e23bb30c77354968b734c771a8030c50ec1abee4f0663fde5ee0553ecbe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f73675ee992e239535e44893d603b4508fb7931137deef36d9edbd9060d05e6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-06-25T02:28:58Z",
    "title_canon_sha256": "179a8b3d2cde2f9b39a0d6cd89383459101e7b2f87290c1ff76f7ee6b6d069ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4592",
    "kind": "arxiv",
    "version": 1
  }
}