Pith Number

pith:45HTPVNY

pith:2016:45HTPVNYX5U6QVZECPDEZUKB7L

not attested not anchored not stored refs pending

Existence of isovolumetric extremals for capillarity functionals

Alessandro Iacopetti, Paolo Caldiroli

arxiv:1608.01150 v1 · 2016-08-03 · 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{45HTPVNYX5U6QVZECPDEZUKB7L}

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	2026-05-18T01:09:56.412079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74f37d5b8bf69e8572413c64cd141fad85288b386d54acb5f939dbcfc9bd064

Aliases

arxiv: 1608.01150 · arxiv_version: 1608.01150v1 · doi: 10.48550/arxiv.1608.01150 · pith_short_12: 45HTPVNYX5U6 · pith_short_16: 45HTPVNYX5U6QVZE · pith_short_8: 45HTPVNY

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/45HTPVNYX5U6QVZECPDEZUKB7L \
  | 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: e74f37d5b8bf69e8572413c64cd141fad85288b386d54acb5f939dbcfc9bd064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bc155461e337effcc47e136bf27f84c2218615d1c4fd45a0349e9451ab01c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-03T11:17:42Z",
    "title_canon_sha256": "174e7153be479a5857c8d5b914aaaf284141c4fdb31b16a30501d32a9da37cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01150",
    "kind": "arxiv",
    "version": 1
  }
}