Pith Number

pith:5FJAJZOM

pith:2011:5FJAJZOMA62ELUDNYTFIPCZ7M6

not attested not anchored not stored refs pending

Perturbation and Numerical Methods for Computing the Minimal Average Energy

Rafael de la Llave, Timothy Blass

arxiv:1110.1775 v1 · 2011-10-08 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FJAJZOMA62ELUDNYTFIPCZ7M6}

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	2026-05-18T04:11:19.646691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95204e5cc07b445d06dc4ca878b3f678f425a5ee0aa0953b92f187e95546e0c

Aliases

arxiv: 1110.1775 · arxiv_version: 1110.1775v1 · doi: 10.48550/arxiv.1110.1775 · pith_short_12: 5FJAJZOMA62E · pith_short_16: 5FJAJZOMA62ELUDN · pith_short_8: 5FJAJZOM

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/5FJAJZOMA62ELUDNYTFIPCZ7M6 \
  | 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: e95204e5cc07b445d06dc4ca878b3f678f425a5ee0aa0953b92f187e95546e0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd84845aa70eb99a28ce0e424813e6a28a06070eb7216df8bd57745c452540f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-08T22:26:50Z",
    "title_canon_sha256": "96eb9b0e560c3ea91687542d1e308af784596d19e2e5e8b1d80726299d1a7207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1775",
    "kind": "arxiv",
    "version": 1
  }
}