Pith Number

pith:WB3FBXMB

pith:2016:WB3FBXMBWTIL2Y3TJCABM4Y5BE

not attested not anchored not stored refs pending

Axis systems of link projections

Ayaka Shimizu, Kirara Horiguchi, Ryohei Watanabe, Yoshiro Yaguchi

arxiv:1612.03397 v2 · 2016-12-11 · 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{WB3FBXMBWTIL2Y3TJCABM4Y5BE}

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	2026-05-18T00:48:09.368260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07650dd81b4d0bd6373488016731d090218e6c55b1fa70fc96b5bd7b4b608c6

Aliases

arxiv: 1612.03397 · arxiv_version: 1612.03397v2 · doi: 10.48550/arxiv.1612.03397 · pith_short_12: WB3FBXMBWTIL · pith_short_16: WB3FBXMBWTIL2Y3T · pith_short_8: WB3FBXMB

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/WB3FBXMBWTIL2Y3TJCABM4Y5BE \
  | 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: b07650dd81b4d0bd6373488016731d090218e6c55b1fa70fc96b5bd7b4b608c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b77a5f896314ec39fe866682f0081a489d77c921079c3fd63d05062c06ff8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-11T11:14:01Z",
    "title_canon_sha256": "bc8fcf304a46479f088c6dbf6267c7f7cd8f2c081e8282bbcf72659d7a08b9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03397",
    "kind": "arxiv",
    "version": 2
  }
}