Pith Number

pith:W6AYHFA6

pith:2021:W6AYHFA6TJDL2H7TDIPBESOX5R

not attested not anchored not stored refs pending

Dihedral Linking Invariants

Elise Catania, Jack Kendrick, Olivia Del Guercio, Patricia Cahn, Sarangoo Chimgee

arxiv:2112.14790 v2 · 2021-12-29 · 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{W6AYHFA6TJDL2H7TDIPBESOX5R}

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	2026-06-26T01:15:41.196313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78183941e9a46bd1ff31a1e1249d7ec45f7a432433afdea7525e3d30102ae0c

Aliases

arxiv: 2112.14790 · arxiv_version: 2112.14790v2 · doi: 10.48550/arxiv.2112.14790 · pith_short_12: W6AYHFA6TJDL · pith_short_16: W6AYHFA6TJDL2H7T · pith_short_8: W6AYHFA6

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/W6AYHFA6TJDL2H7TDIPBESOX5R \
  | 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: b78183941e9a46bd1ff31a1e1249d7ec45f7a432433afdea7525e3d30102ae0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7615589d361f5f8cd187a0a5bac220ee3ecfb5b1d58d7fb836158d1746ae8b6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-12-29T19:03:12Z",
    "title_canon_sha256": "d817a73b19a2329b954a10f2ee86e03b68fd22449f7d76313205efe1f1ddd476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14790",
    "kind": "arxiv",
    "version": 2
  }
}