Pith Number

pith:WTGAQYSO

pith:2020:WTGAQYSOVKFCLQBDLCT5XY5Q7H

not attested not anchored not stored refs pending

Exotically knotted disks and complex curves

Kyle Hayden

arxiv:2003.13681 v2 · 2020-03-30 · math.GT · math.CV · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTGAQYSOVKFCLQBDLCT5XY5Q7H}

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	2026-07-05T02:26:11.648967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4cc08624eaa8a25c02358a7dbe3b0f9c5e3be81a54eedf0f1b8e32b1572337c

Aliases

arxiv: 2003.13681 · arxiv_version: 2003.13681v2 · doi: 10.48550/arxiv.2003.13681 · pith_short_12: WTGAQYSOVKFC · pith_short_16: WTGAQYSOVKFCLQBD · pith_short_8: WTGAQYSO

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/WTGAQYSOVKFCLQBDLCT5XY5Q7H \
  | 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: b4cc08624eaa8a25c02358a7dbe3b0f9c5e3be81a54eedf0f1b8e32b1572337c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166f7c825922d7d3bf602c4373b99f705d97e0661b5b20c0a813d25c0cf77fef",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-03-30T17:58:52Z",
    "title_canon_sha256": "1991c5c3e6c8e43c2ffca165f21a338becce65695e82cc65c450224911e21bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13681",
    "kind": "arxiv",
    "version": 2
  }
}