Pith Number

pith:GUUG7VVL

pith:2007:GUUG7VVLKFWJCEM22VSNZGJAOR

not attested not anchored not stored refs pending

Consumption processes and positively homogeneous projection properties

Tom Fischer

arxiv:0711.4225 v1 · 2007-11-27 · q-fin.GN · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUUG7VVLKFWJCEM22VSNZGJAOR}

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	2026-05-18T03:53:07.384921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35286fd6ab516c91119ad564dc99207474c62830e96dd78afa1c7bc7bc112c28

Aliases

arxiv: 0711.4225 · arxiv_version: 0711.4225v1 · doi: 10.48550/arxiv.0711.4225 · pith_short_12: GUUG7VVLKFWJ · pith_short_16: GUUG7VVLKFWJCEM2 · pith_short_8: GUUG7VVL

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/GUUG7VVLKFWJCEM22VSNZGJAOR \
  | 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: 35286fd6ab516c91119ad564dc99207474c62830e96dd78afa1c7bc7bc112c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdd6f458b20218807416e75043a036e048262a95972b86ba84c8d435c0f49ab",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2007-11-27T11:20:59Z",
    "title_canon_sha256": "6b8cd62afdf006cf0a3519baeea2c87762fcef5244c447673ef18b1c6c55c249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4225",
    "kind": "arxiv",
    "version": 1
  }
}