Pith Number

pith:BGOCYEUR

pith:2016:BGOCYEURDWF4PBP3QWMLPZALSJ

not attested not anchored not stored refs pending

Immersions of the circle into a surface

Sergey A. Melikhov

arxiv:1612.00428 v4 · 2016-12-01 · 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{BGOCYEURDWF4PBP3QWMLPZALSJ}

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	2026-05-18T00:03:57.214215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099c2c12911d8bc785fb8598b7e40b924883e5c32a485b4bd69679ae621290db

Aliases

arxiv: 1612.00428 · arxiv_version: 1612.00428v4 · doi: 10.48550/arxiv.1612.00428 · pith_short_12: BGOCYEURDWF4 · pith_short_16: BGOCYEURDWF4PBP3 · pith_short_8: BGOCYEUR

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/BGOCYEURDWF4PBP3QWMLPZALSJ \
  | 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: 099c2c12911d8bc785fb8598b7e40b924883e5c32a485b4bd69679ae621290db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1963980efe5c3cdd4df73e107f0d9e9643fefb1939fc90b1746b2c789d35d126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-01T20:48:10Z",
    "title_canon_sha256": "37c9dcdb5c9d0e2769755dfe33fd8945d601063448ea596d43cc5de398704eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00428",
    "kind": "arxiv",
    "version": 4
  }
}