Pith Number

pith:DPGHXYRT

pith:1999:DPGHXYRTG5TPMATEWPYKGBMX3L

not attested not anchored not stored refs pending

Dependence on the spin structure of the eta and rokhlin invariants

Mattias Dahl

arxiv:math/9912168 v1 · 1999-12-21 · math.DG · 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{DPGHXYRTG5TPMATEWPYKGBMX3L}

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	2026-05-18T04:17:13.906859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcc7be2333766f60264b3f0a30597daf78643d07601b677fb1b315d890c635b

Aliases

arxiv: math/9912168 · arxiv_version: math/9912168v1 · doi: 10.48550/arxiv.math/9912168 · pith_short_12: DPGHXYRTG5TP · pith_short_16: DPGHXYRTG5TPMATE · pith_short_8: DPGHXYRT

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/DPGHXYRTG5TPMATEWPYKGBMX3L \
  | 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: 1bcc7be2333766f60264b3f0a30597daf78643d07601b677fb1b315d890c635b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f4d0f5b4aa028fa81d44d763ff1af35df2be3fcdec7670e7dce5430b005026",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-12-21T09:28:55Z",
    "title_canon_sha256": "dcd66a4ef95438ff90f07cb6a460c92ef6ae54deed499b068df4e21fda37be59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912168",
    "kind": "arxiv",
    "version": 1
  }
}