Pith Number

pith:M75IT7NL

pith:2016:M75IT7NL6FIRCQNMUMJJN2LQ6K

not attested not anchored not stored refs pending

Torus Actions, Fixed-Point Formulas, Elliptic Genera and positive curvature

Anand Dessai

arxiv:1605.05531 v3 · 2016-05-18 · math.GT · 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{M75IT7NL6FIRCQNMUMJJN2LQ6K}

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	2026-05-18T01:08:32.195161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fa89fdabf1511141aca31296e970f28be6d35d132efa079a1eb5f71f960c0d

Aliases

arxiv: 1605.05531 · arxiv_version: 1605.05531v3 · doi: 10.48550/arxiv.1605.05531 · pith_short_12: M75IT7NL6FIR · pith_short_16: M75IT7NL6FIRCQNM · pith_short_8: M75IT7NL

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/M75IT7NL6FIRCQNMUMJJN2LQ6K \
  | 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: 67fa89fdabf1511141aca31296e970f28be6d35d132efa079a1eb5f71f960c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386f7d12ad74bd088693086ff5ee473ef30615db9baf5004d08de6decdf29abf",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-18T11:48:41Z",
    "title_canon_sha256": "a255cd512cfa163cf912eb964e2ac9ba96147ab6db63eaa230afb570d37b3003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05531",
    "kind": "arxiv",
    "version": 3
  }
}