Pith Number

pith:M4QSHTN4

pith:2014:M4QSHTN4L6PZSG7XFMYMO5MR3T

not attested not anchored not stored refs pending

Nonnegative curvature, elliptic genus and unbounded Pontryagin numbers

Martin Herrmann, Nicolas Weisskopf

arxiv:1412.4923 v3 · 2014-12-16 · 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{M4QSHTN4L6PZSG7XFMYMO5MR3T}

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	2026-05-18T01:11:08.685750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672123cdbc5f9f991bf72b30c77591dcd6779536658597f4daf259c57f8f20aa

Aliases

arxiv: 1412.4923 · arxiv_version: 1412.4923v3 · doi: 10.48550/arxiv.1412.4923 · pith_short_12: M4QSHTN4L6PZ · pith_short_16: M4QSHTN4L6PZSG7X · pith_short_8: M4QSHTN4

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/M4QSHTN4L6PZSG7XFMYMO5MR3T \
  | 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: 672123cdbc5f9f991bf72b30c77591dcd6779536658597f4daf259c57f8f20aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6971b8b7d9fdafd8472006137faac2eb0963998bef7acebcc63fb52ebcd1c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-16T08:46:43Z",
    "title_canon_sha256": "cb3875393442c9571f621495fc0b0b88faeed83ac48fcda004a27cb96ef5de63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4923",
    "kind": "arxiv",
    "version": 3
  }
}