Pith Number

pith:S3NXXNXQ

pith:2016:S3NXXNXQR23IJNEWS64TAA7TAO

not attested not anchored not stored refs pending

Discrete knot energies

Sebastian Scholtes

arxiv:1603.02464 v1 · 2016-03-08 · math.GT · math.CA · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3NXXNXQR23IJNEWS64TAA7TAO}

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	2026-05-18T01:19:23.239004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96db7bb6f08eb684b49697b93003f303b288dac505518e01ce63cd01771c9001

Aliases

arxiv: 1603.02464 · arxiv_version: 1603.02464v1 · doi: 10.48550/arxiv.1603.02464 · pith_short_12: S3NXXNXQR23I · pith_short_16: S3NXXNXQR23IJNEW · pith_short_8: S3NXXNXQ

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/S3NXXNXQR23IJNEWS64TAA7TAO \
  | 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: 96db7bb6f08eb684b49697b93003f303b288dac505518e01ce63cd01771c9001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4698ffbf6b4aee744baa897e60495df89eb18dca90b2559f9fdeef99eb424f07",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-08T10:27:40Z",
    "title_canon_sha256": "c6fdbc7e50ec4419d73ec5b419da4a27d62c73c327bc58af409a4262d94cd3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02464",
    "kind": "arxiv",
    "version": 1
  }
}