Pith Number

pith:GRS23VDJ

pith:2011:GRS23VDJJF5UBGZ224JQXGYHQU

not attested not anchored not stored refs pending

Stationary Points of O'Hara's Knot Energies

Philipp Reiter, Simon Blatt

arxiv:1111.6782 v2 · 2011-11-29 · math.AP · 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{GRS23VDJJF5UBGZ224JQXGYHQU}

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	2026-05-18T04:04:18.609198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3465add469497b409b3ad7130b9b07852ad3d262b60cca35c3f42a10b82efab8

Aliases

arxiv: 1111.6782 · arxiv_version: 1111.6782v2 · doi: 10.48550/arxiv.1111.6782 · pith_short_12: GRS23VDJJF5U · pith_short_16: GRS23VDJJF5UBGZ2 · pith_short_8: GRS23VDJ

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/GRS23VDJJF5UBGZ224JQXGYHQU \
  | 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: 3465add469497b409b3ad7130b9b07852ad3d262b60cca35c3f42a10b82efab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2624b63e7e658d2ef9f5424f95bd064a2684c63db756981c8181894e8df994d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-29T12:05:06Z",
    "title_canon_sha256": "ee7230effa3e6c12a24bbb409c9451c3b03ae1f8411562733af1004737036d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6782",
    "kind": "arxiv",
    "version": 2
  }
}