Pith Number

pith:XEKUGKB5

pith:2006:XEKUGKB5DF2KDF23H2PVFBVDPJ

not attested not anchored not stored refs pending

Some properties for superprocess under a stochastic flow

Carl Mueller, Jei Xiong, Kijung Lee

arxiv:math/0606761 v1 · 2006-06-29 · math.PR · 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{XEKUGKB5DF2KDF23H2PVFBVDPJ}

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	2026-05-18T01:38:23.976613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91543283d1974a1975b3e9f5286a37a79de7def33d7f180af6a6cc612dd296f

Aliases

arxiv: math/0606761 · arxiv_version: math/0606761v1 · doi: 10.48550/arxiv.math/0606761 · pith_short_12: XEKUGKB5DF2K · pith_short_16: XEKUGKB5DF2KDF23 · pith_short_8: XEKUGKB5

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/XEKUGKB5DF2KDF23H2PVFBVDPJ \
  | 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: b91543283d1974a1975b3e9f5286a37a79de7def33d7f180af6a6cc612dd296f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d209abf283e6710eeaaddb8c186bfd1f87d5f062c9dbab2aa95b21ed8e83a0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-06-29T14:12:24Z",
    "title_canon_sha256": "bf3f02c487c6977755ea801a36f911a165943a7db1f15a211ae4f9860e2d0e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606761",
    "kind": "arxiv",
    "version": 1
  }
}