Pith Number

pith:52AZPIOS

pith:2006:52AZPIOSUQ6CYY5R6GVW43HH3E

not attested not anchored not stored refs pending

The spinorial \tau-invariant and 0-dimensional surgery

Bernd Ammann (IECN), Emmanuel Humbert (IECN)

arxiv:math/0607716 v2 · 2006-07-27 · 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{52AZPIOSUQ6CYY5R6GVW43HH3E}

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	2026-05-18T01:28:44.720416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8197a1d2a43c2c63b1f1ab6e6ce7d9212cfd9056a511676b769fbb4b3a5601

Aliases

arxiv: math/0607716 · arxiv_version: math/0607716v2 · doi: 10.48550/arxiv.math/0607716 · pith_short_12: 52AZPIOSUQ6C · pith_short_16: 52AZPIOSUQ6CYY5R · pith_short_8: 52AZPIOS

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/52AZPIOSUQ6CYY5R6GVW43HH3E \
  | 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: ee8197a1d2a43c2c63b1f1ab6e6ce7d9212cfd9056a511676b769fbb4b3a5601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "593a7c5778d1c4c72dfb4ed6cdf7a63c42495a578cdae02891a42a894559df23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-07-27T15:42:42Z",
    "title_canon_sha256": "efe613e96f69287c30bfa5f07984d8ae9fbcd1ee1d00d9d72b35a76c98a82e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607716",
    "kind": "arxiv",
    "version": 2
  }
}