Pith Number

pith:JJYMG5KF

pith:2014:JJYMG5KFWYQQWYAHAOSGG7TRYH

not attested not anchored not stored refs pending

Isolated singularities of graphs in warped products and Monge-Amp\`ere equations

Asun Jim\'enez, Jos\'e A. G\'alvez, Pablo Mira

arxiv:1411.2904 v1 · 2014-11-11 · 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{JJYMG5KFWYQQWYAHAOSGG7TRYH}

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	2026-05-18T02:37:52.747083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a70c37545b6210b600703a4637e71c1eca0cd4e5f1c3e2e05c6903bd2bad39e

Aliases

arxiv: 1411.2904 · arxiv_version: 1411.2904v1 · doi: 10.48550/arxiv.1411.2904 · pith_short_12: JJYMG5KFWYQQ · pith_short_16: JJYMG5KFWYQQWYAH · pith_short_8: JJYMG5KF

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/JJYMG5KFWYQQWYAHAOSGG7TRYH \
  | 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: 4a70c37545b6210b600703a4637e71c1eca0cd4e5f1c3e2e05c6903bd2bad39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631e44970e59add8571a3cc01e0531d7ff89368d84d336cf60cf6fddbca1904f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-11T18:00:15Z",
    "title_canon_sha256": "20184637bca6041d4f3fffa4eaca0635d149bc728a7a576090ad47ef6555419c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2904",
    "kind": "arxiv",
    "version": 1
  }
}