Pith Number

pith:V6T4Z3P2

pith:2016:V6T4Z3P27OW3KGDCF35RTNAX5X

not attested not anchored not stored refs pending

Involutions on surfaces

Daniel Dugger

arxiv:1612.08489 v1 · 2016-12-27 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6T4Z3P27OW3KGDCF35RTNAX5X}

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	2026-05-18T00:53:52.858303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afa7ccedfafbadb518622efb19b417edd2784476247856843da3fee31f009339

Aliases

arxiv: 1612.08489 · arxiv_version: 1612.08489v1 · doi: 10.48550/arxiv.1612.08489 · pith_short_12: V6T4Z3P27OW3 · pith_short_16: V6T4Z3P27OW3KGDC · pith_short_8: V6T4Z3P2

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/V6T4Z3P27OW3KGDCF35RTNAX5X \
  | 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: afa7ccedfafbadb518622efb19b417edd2784476247856843da3fee31f009339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42cba10a5fe872630d7b022baeb4fe7e1180dbb1eb849a18dde7809952ffdbfc",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-27T03:38:42Z",
    "title_canon_sha256": "1095e2c402a4b1fb867265b589bf68e60d0d955966fa9a6dd49f80aae92c0ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08489",
    "kind": "arxiv",
    "version": 1
  }
}