Pith Number

pith:KGHYGW6O

pith:1999:KGHYGW6OXSCYBZZMP77FRSAHL3

not attested not anchored not stored refs pending

A secondary Chern-Euler class

Ji-Ping Sha

arxiv:math/9911269 v1 · 1999-11-01 · 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{KGHYGW6OXSCYBZZMP77FRSAHL3}

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	2026-05-18T01:05:32.309458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

518f835bcebc8580e72c7ffe58c8075edc43c732a1375af06a62520e2c9b7c87

Aliases

arxiv: math/9911269 · arxiv_version: math/9911269v1 · doi: 10.48550/arxiv.math/9911269 · pith_short_12: KGHYGW6OXSCY · pith_short_16: KGHYGW6OXSCYBZZM · pith_short_8: KGHYGW6O

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/KGHYGW6OXSCYBZZMP77FRSAHL3 \
  | 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: 518f835bcebc8580e72c7ffe58c8075edc43c732a1375af06a62520e2c9b7c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219ed35cafdc91e631323848f554d721a5abec811760812d858882dbd2508bc7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-01T00:00:00Z",
    "title_canon_sha256": "f42f54bf471035565bdeae11b27fab8adb5b9045559a8b37c3f295f2d9254927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911269",
    "kind": "arxiv",
    "version": 1
  }
}