Pith Number

pith:I5BMI5P2

pith:2019:I5BMI5P2LEL64FVNAXSM3BHX3U

not attested not anchored not stored refs pending

On O'hara knot energies I: Regularity for critical knots

Armin Schikorra, Philipp Reiter, Simon Blatt

arxiv:1905.06064 v1 · 2019-05-15 · math.AP · math.AT · 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{I5BMI5P2LEL64FVNAXSM3BHX3U}

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	2026-05-17T23:46:02.797764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4742c475fa5917ee16ad05e4cd84f7dd237db76f7ea1ff63298c4f2968666fdb

Aliases

arxiv: 1905.06064 · arxiv_version: 1905.06064v1 · doi: 10.48550/arxiv.1905.06064 · pith_short_12: I5BMI5P2LEL6 · pith_short_16: I5BMI5P2LEL64FVN · pith_short_8: I5BMI5P2

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/I5BMI5P2LEL64FVNAXSM3BHX3U \
  | 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: 4742c475fa5917ee16ad05e4cd84f7dd237db76f7ea1ff63298c4f2968666fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc4f9dc00b461b5c7b8b73fb9332fba9770bc849a17846eb259aad23bd1ebac",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-15T10:03:10Z",
    "title_canon_sha256": "35a4208a5b5dc64411471ffaf562ed82b47d93e4eec49f3de8c7365f81edaf2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06064",
    "kind": "arxiv",
    "version": 1
  }
}