Pith Number

pith:Q3EOUQSE

pith:2005:Q3EOUQSEDXBTC5OFYJOY4NU3QS

not attested not anchored not stored refs pending

Large Parameter Behavior of Equilibrium Measures

Fei-Ran Tian, Tamara Grava

arxiv:math-ph/0506040 v1 · 2005-06-15 · math-ph · math.CA · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3EOUQSEDXBTC5OFYJOY4NU3QS}

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	2026-05-18T01:30:56.165049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c8ea42441dc33175c5c25d8e369b848bf2e1d787cfd9ae25a93f8961efbbdb

Aliases

arxiv: math-ph/0506040 · arxiv_version: math-ph/0506040v1 · doi: 10.48550/arxiv.math-ph/0506040 · pith_short_12: Q3EOUQSEDXBT · pith_short_16: Q3EOUQSEDXBTC5OF · pith_short_8: Q3EOUQSE

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/Q3EOUQSEDXBTC5OFYJOY4NU3QS \
  | 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: 86c8ea42441dc33175c5c25d8e369b848bf2e1d787cfd9ae25a93f8961efbbdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d638f29ede58272dd58b6fb46213f86e658a95e5f3aefe2dd468c32fdb8c3d5",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-15T12:39:09Z",
    "title_canon_sha256": "89f8779f116e922634f34a92c4d191353fe5a4965bd475d44011ccd2c9091cb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506040",
    "kind": "arxiv",
    "version": 1
  }
}