Pith Number

pith:SNDE3OVR

pith:2025:SNDE3OVRTR46VUDUSZRSUKXJ7Y

not attested not anchored not stored refs pending

Lecture notes on link homologies and knotted surfaces

Kyle Hayden

arxiv:2507.15305 v1 · 2025-07-21 · 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{SNDE3OVRTR46VUDUSZRSUKXJ7Y}

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	2026-07-05T11:40:22.307427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93464dbab19c79ead07496632a2ae9fe130e34a4a90285c7602c87198f39e0ac

Aliases

arxiv: 2507.15305 · arxiv_version: 2507.15305v1 · doi: 10.48550/arxiv.2507.15305 · pith_short_12: SNDE3OVRTR46 · pith_short_16: SNDE3OVRTR46VUDU · pith_short_8: SNDE3OVR

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/SNDE3OVRTR46VUDUSZRSUKXJ7Y \
  | 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: 93464dbab19c79ead07496632a2ae9fe130e34a4a90285c7602c87198f39e0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e30f6475a2e5a334e6edd317643bf74dc014da519cbf998aa23bcb3a9b32eb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-21T07:07:18Z",
    "title_canon_sha256": "c1c8ac0fa9cedfaebec596d13da93340e688fb59f94ea0526ba700ab94a6775e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15305",
    "kind": "arxiv",
    "version": 1
  }
}