Pith Number

pith:VMCTYBQU

pith:2012:VMCTYBQUGJQC35WN5CJ2VKS3RI

not attested not anchored not stored refs pending

A note on quasi-positive curvature conditions

Kristopher Tapp, Megan M. Kerr

arxiv:1211.3897 v1 · 2012-11-16 · 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{VMCTYBQUGJQC35WN5CJ2VKS3RI}

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	2026-05-18T03:40:37.675098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab053c061432602df6cde893aaaa5b8a150e3a2fa86a149ea33acdd5f387bfff

Aliases

arxiv: 1211.3897 · arxiv_version: 1211.3897v1 · doi: 10.48550/arxiv.1211.3897 · pith_short_12: VMCTYBQUGJQC · pith_short_16: VMCTYBQUGJQC35WN · pith_short_8: VMCTYBQU

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/VMCTYBQUGJQC35WN5CJ2VKS3RI \
  | 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: ab053c061432602df6cde893aaaa5b8a150e3a2fa86a149ea33acdd5f387bfff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34776f8229f7acea380d4b95d648696f3ef5ba55495b651ca7d384eea33fa08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-16T14:19:24Z",
    "title_canon_sha256": "c3a7980456fd907d4acd4ea543bceb14836a6637ca9299244fcb39e645909da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3897",
    "kind": "arxiv",
    "version": 1
  }
}