Pith Number

pith:YDGYPK3F

pith:2017:YDGYPK3FWYXRWF4B27AB6A3L4J

not attested not anchored not stored refs pending

Ruling polynomials and augmentations for Legendrian tangles

Tao Su

arxiv:1707.04948 v1 · 2017-07-16 · math.SG · 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{YDGYPK3FWYXRWF4B27AB6A3L4J}

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	2026-05-18T00:40:11.730566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0cd87ab65b62f1b1781d7c01f036be27b25785177106ebf572feb5f22b32cd9

Aliases

arxiv: 1707.04948 · arxiv_version: 1707.04948v1 · doi: 10.48550/arxiv.1707.04948 · pith_short_12: YDGYPK3FWYXR · pith_short_16: YDGYPK3FWYXRWF4B · pith_short_8: YDGYPK3F

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/YDGYPK3FWYXRWF4B27AB6A3L4J \
  | 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: c0cd87ab65b62f1b1781d7c01f036be27b25785177106ebf572feb5f22b32cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473d32b8af4cd717221ac770e9e01283e159a808772fb5a3bfb9bcf3e530fdba",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-07-16T21:35:23Z",
    "title_canon_sha256": "9899d639381a5e2b7015f7c2c401a6d26c7fa87e4332d6fd198e4becbbc615c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04948",
    "kind": "arxiv",
    "version": 1
  }
}