Pith Number

pith:3PWQKJAG

pith:2007:3PWQKJAG3F3Y2NYBUKMC4B4LPL

not attested not anchored not stored refs pending

Real embeddings, eta invariant and Chern-Simons current

Guangbo Xu, Huitao Feng, Weiping Zhang

arxiv:0707.4219 v1 · 2007-07-28 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PWQKJAG3F3Y2NYBUKMC4B4LPL}

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	2026-05-18T03:55:47.436224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbed052406d9778d3701a2982e078b7ad98f0757b5e9f4dae15f37aa01ab9f9f

Aliases

arxiv: 0707.4219 · arxiv_version: 0707.4219v1 · doi: 10.48550/arxiv.0707.4219 · pith_short_12: 3PWQKJAG3F3Y · pith_short_16: 3PWQKJAG3F3Y2NYB · pith_short_8: 3PWQKJAG

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/3PWQKJAG3F3Y2NYBUKMC4B4LPL \
  | 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: dbed052406d9778d3701a2982e078b7ad98f0757b5e9f4dae15f37aa01ab9f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e276cb5f384309c40732ca3234d1d1d339bb43c4695b91571866448a42ce25c0",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-07-28T08:12:46Z",
    "title_canon_sha256": "9fe08f95d28e437d4a01ce9cc912f7c717d57867c7698a332a97f66b376cb1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4219",
    "kind": "arxiv",
    "version": 1
  }
}