Pith Number

pith:GMH3EL6R

pith:2014:GMH3EL6R3Q77O7VIR2GFSGMY7I

not attested not anchored not stored refs pending

Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions

Rung-Tzung Huang, Yoonweon Lee

arxiv:1405.5663 v1 · 2014-05-22 · 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{GMH3EL6R3Q77O7VIR2GFSGMY7I}

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	2026-05-18T02:51:15.972471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330fb22fd1dc3ff77ea88e8c591998fa30eeb907e4ac39ab2a61ee73166a1924

Aliases

arxiv: 1405.5663 · arxiv_version: 1405.5663v1 · doi: 10.48550/arxiv.1405.5663 · pith_short_12: GMH3EL6R3Q77 · pith_short_16: GMH3EL6R3Q77O7VI · pith_short_8: GMH3EL6R

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/GMH3EL6R3Q77O7VIR2GFSGMY7I \
  | 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: 330fb22fd1dc3ff77ea88e8c591998fa30eeb907e4ac39ab2a61ee73166a1924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1fe48d44bc77489a2952de5db6865312a4cc2ff67857c166009f91b99f9e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-22T08:16:48Z",
    "title_canon_sha256": "49c86f1206045c87e48377eea64a03fa65ce31854861491ae08db6546c213778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5663",
    "kind": "arxiv",
    "version": 1
  }
}