Pith Number

pith:W6NJZRM3

pith:2013:W6NJZRM3JB6UNEWN3Z2Y4V3C3F

not attested not anchored not stored refs pending

Flat Sections and Non-negative Curvature in Pullback Bundles

C. Dur\'an, L. D. Speran\c{c}a

arxiv:1304.4532 v1 · 2013-04-16 · 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{W6NJZRM3JB6UNEWN3Z2Y4V3C3F}

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	2026-05-18T03:27:52.758744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79a9cc59b487d4692cdde758e5762d97ac6f501f8f275e6be69d2df8fb05b5c

Aliases

arxiv: 1304.4532 · arxiv_version: 1304.4532v1 · doi: 10.48550/arxiv.1304.4532 · pith_short_12: W6NJZRM3JB6U · pith_short_16: W6NJZRM3JB6UNEWN · pith_short_8: W6NJZRM3

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/W6NJZRM3JB6UNEWN3Z2Y4V3C3F \
  | 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: b79a9cc59b487d4692cdde758e5762d97ac6f501f8f275e6be69d2df8fb05b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5207b1eacd026dbadc757bff71b84d522438560e45ba802acf04fbd7bc979359",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-16T17:42:04Z",
    "title_canon_sha256": "54727ead160e713afbd368d8d82390fe63f300a6a6cc13cfa5142399c38fa649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4532",
    "kind": "arxiv",
    "version": 1
  }
}