Pith Number

pith:LWDE7IKN

pith:2010:LWDE7IKNGPCWWM37SVHZODNPNV

not attested not anchored not stored refs pending

Shape minimization of the dissipated energy in dyadic trees

Benjamin Mauroy (MSC), Xavier Dubois De La Sabloni\`ere (MAPMO), Yannick Privat (IRMAR)

arxiv:1010.2892 v1 · 2010-10-14 · 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{LWDE7IKNGPCWWM37SVHZODNPNV}

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	2026-05-18T04:33:37.157237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d864fa14d33c56b337f954f970daf6d716c296cb552ac93dec8ce381abf418c

Aliases

arxiv: 1010.2892 · arxiv_version: 1010.2892v1 · doi: 10.48550/arxiv.1010.2892 · pith_short_12: LWDE7IKNGPCW · pith_short_16: LWDE7IKNGPCWWM37 · pith_short_8: LWDE7IKN

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/LWDE7IKNGPCWWM37SVHZODNPNV \
  | 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: 5d864fa14d33c56b337f954f970daf6d716c296cb552ac93dec8ce381abf418c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662c3c1ef8196e207313ffe7b3e62d3fb8f89ccd40c46fab2ebdf8b48e38fdb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-14T12:58:49Z",
    "title_canon_sha256": "640504428968e5632ec3308147b377c4cfa11000f5b2a5c551029226f1f29fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2892",
    "kind": "arxiv",
    "version": 1
  }
}