Pith Number

pith:VBIEHRD3

pith:2015:VBIEHRD3TFSCPM7H5P5HJNWP2P

not attested not anchored not stored refs pending

On the set of metrics without local limiting Carleman weights

Pablo Angulo Ardoy

arxiv:1509.02127 v4 · 2015-09-07 · math.AP · 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{VBIEHRD3TFSCPM7H5P5HJNWP2P}

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	2026-05-18T01:00:10.117642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85043c47b996427b3e7ebfa74b6cfd3f4aac6dd5478c6f3b6e4d83131cf3732

Aliases

arxiv: 1509.02127 · arxiv_version: 1509.02127v4 · doi: 10.48550/arxiv.1509.02127 · pith_short_12: VBIEHRD3TFSC · pith_short_16: VBIEHRD3TFSCPM7H · pith_short_8: VBIEHRD3

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/VBIEHRD3TFSCPM7H5P5HJNWP2P \
  | 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: a85043c47b996427b3e7ebfa74b6cfd3f4aac6dd5478c6f3b6e4d83131cf3732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1805d0585dee5fed4ade3c500a868b9f8af4e6dafe9e34357b6c9c6b39f153e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-07T17:12:21Z",
    "title_canon_sha256": "93e0d3db6e0ba52df0e7c5aefe530e73d7d7013fd9825f59ca37efb1d0c3ee58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02127",
    "kind": "arxiv",
    "version": 4
  }
}