Pith Number

pith:XG55VWTL

pith:2011:XG55VWTLGAVFHSUB5XQG5DZOJC

not attested not anchored not stored refs pending

Localized asymptotic behavior for almost additive potentials

Julien Barral, Yan-Hui Qu

arxiv:1104.1442 v1 · 2011-04-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XG55VWTLGAVFHSUB5XQG5DZOJC}

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	2026-05-18T04:24:45.045533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9bbdada6b302a53ca81ede06e8f2e489ecf8e0c35885561bb34e96d884cff26

Aliases

arxiv: 1104.1442 · arxiv_version: 1104.1442v1 · doi: 10.48550/arxiv.1104.1442 · pith_short_12: XG55VWTLGAVF · pith_short_16: XG55VWTLGAVFHSUB · pith_short_8: XG55VWTL

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/XG55VWTLGAVFHSUB5XQG5DZOJC \
  | 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: b9bbdada6b302a53ca81ede06e8f2e489ecf8e0c35885561bb34e96d884cff26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb904516128f08a7a6639654d60d3f7834b881f2469d1dbd453821d42a9a765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-07T20:44:41Z",
    "title_canon_sha256": "e61b97d8b91272d58aa36569ad71c7b187eafede4b0a43f313460c831267de66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1442",
    "kind": "arxiv",
    "version": 1
  }
}