Pith Number

pith:YGCM3AXS

pith:2016:YGCM3AXSNY7E5KHBKCPHIEVRK5

not attested not anchored not stored refs pending

Critical Metrics of the Volume Functional on Manifolds with Boundary

E. Ribeiro Jr, H. Baltazar

arxiv:1603.02932 v1 · 2016-03-09 · 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{YGCM3AXSNY7E5KHBKCPHIEVRK5}

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	2026-05-18T01:19:19.546599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c184cd82f26e3e4ea8e1509e7412b157749141d96a11b7968966f7a3b545d2b9

Aliases

arxiv: 1603.02932 · arxiv_version: 1603.02932v1 · doi: 10.48550/arxiv.1603.02932 · pith_short_12: YGCM3AXSNY7E · pith_short_16: YGCM3AXSNY7E5KHB · pith_short_8: YGCM3AXS

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/YGCM3AXSNY7E5KHBKCPHIEVRK5 \
  | 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: c184cd82f26e3e4ea8e1509e7412b157749141d96a11b7968966f7a3b545d2b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31438d441731d8cbf9ccaa67900ea7e8c0abc6351ee03ee27fb5c7677ac55d55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-09T15:54:57Z",
    "title_canon_sha256": "2e5d03340abad0c610959344235e6a8fbaa114513e7bf2b49f0b00c9877d9b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02932",
    "kind": "arxiv",
    "version": 1
  }
}