Pith Number

pith:2V3JNEJU

pith:2015:2V3JNEJU42WKXWDJICUBHT7BYS

not attested not anchored not stored refs pending

An equivariant Kastler-Kalau-Walze type theorem

Yong Wang

arxiv:1512.05479 v3 · 2015-12-17 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V3JNEJU42WKXWDJICUBHT7BYS}

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	2026-05-18T01:23:28.588505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d576969134e6acabd86940a813cfe1c4a0953d5886e3064db0df519a565bf348

Aliases

arxiv: 1512.05479 · arxiv_version: 1512.05479v3 · doi: 10.48550/arxiv.1512.05479 · pith_short_12: 2V3JNEJU42WK · pith_short_16: 2V3JNEJU42WKXWDJ · pith_short_8: 2V3JNEJU

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/2V3JNEJU42WKXWDJICUBHT7BYS \
  | 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: d576969134e6acabd86940a813cfe1c4a0953d5886e3064db0df519a565bf348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c9732963ef495492b189279f5e8949a200f5abe80d036e3daaee157e59d989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-17T06:47:33Z",
    "title_canon_sha256": "c6dc7abb930122aadc1b954b4011ce7c5457670fe77894b345acb5e8f5efb6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05479",
    "kind": "arxiv",
    "version": 3
  }
}