Pith Number

pith:6RWKJTNM

pith:2012:6RWKJTNMTIWQ5B35FKGVKCN7DQ

not attested not anchored not stored refs pending

On the asymmetric zero-range in the rarefaction fan

Patricia Gon\c{c}alves

arxiv:1203.0287 v2 · 2012-03-01 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RWKJTNMTIWQ5B35FKGVKCN7DQ}

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	2026-05-18T01:58:16.006338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46ca4cdac9a2d0e877d2a8d5509bf1c04c64eb9ddca60e2709b3f83acb621a4

Aliases

arxiv: 1203.0287 · arxiv_version: 1203.0287v2 · doi: 10.48550/arxiv.1203.0287 · pith_short_12: 6RWKJTNMTIWQ · pith_short_16: 6RWKJTNMTIWQ5B35 · pith_short_8: 6RWKJTNM

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/6RWKJTNMTIWQ5B35FKGVKCN7DQ \
  | 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: f46ca4cdac9a2d0e877d2a8d5509bf1c04c64eb9ddca60e2709b3f83acb621a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cfe4d19815f5d9309cfe4fd856f2184a1d0cc764132df6e27eea9896b17d5fc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-01T20:39:10Z",
    "title_canon_sha256": "3856e423f83da95f72ffd27c3954ab1216f5d9d28973600c504903adf957b7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0287",
    "kind": "arxiv",
    "version": 2
  }
}