Pith Number

pith:3P4NMZ2L

pith:2017:3P4NMZ2LAX7U3JP4FXRNWVXWTQ

not attested not anchored not stored refs pending

Virtual Seifert Surfaces

Micah Chrisman

arxiv:1712.05715 v1 · 2017-12-15 · 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{3P4NMZ2LAX7U3JP4FXRNWVXWTQ}

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	2026-05-18T00:27:55.830839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf8d6674b05ff4da5fc2de2db56f69c10871671d0e3db86ce8af77a767604e0

Aliases

arxiv: 1712.05715 · arxiv_version: 1712.05715v1 · doi: 10.48550/arxiv.1712.05715 · pith_short_12: 3P4NMZ2LAX7U · pith_short_16: 3P4NMZ2LAX7U3JP4 · pith_short_8: 3P4NMZ2L

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/3P4NMZ2LAX7U3JP4FXRNWVXWTQ \
  | 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: dbf8d6674b05ff4da5fc2de2db56f69c10871671d0e3db86ce8af77a767604e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b650b8b58a1f78cdb491b6e226766890414901afd2022ae9973df105ef16dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-15T15:33:41Z",
    "title_canon_sha256": "1d9c98b62fac725df9a1a20fc0a0add79aef757482bdce64dba914b76267d9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05715",
    "kind": "arxiv",
    "version": 1
  }
}