Pith Number

pith:KYOY3DFH

pith:2008:KYOY3DFH3JFXQEUW4XJQRODIRO

not attested not anchored not stored refs pending

Q-valued functions revisited

Camillo De Lellis, Emanuele Nunzio Spadaro

arxiv:0803.0060 v4 · 2008-03-03 · 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{KYOY3DFH3JFXQEUW4XJQRODIRO}

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	2026-05-18T04:26:43.909162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561d8d8ca7da4b781296e5d308b8688b9d9eef70e6dc32657efe6470550135aa

Aliases

arxiv: 0803.0060 · arxiv_version: 0803.0060v4 · doi: 10.48550/arxiv.0803.0060 · pith_short_12: KYOY3DFH3JFX · pith_short_16: KYOY3DFH3JFXQEUW · pith_short_8: KYOY3DFH

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/KYOY3DFH3JFXQEUW4XJQRODIRO \
  | 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: 561d8d8ca7da4b781296e5d308b8688b9d9eef70e6dc32657efe6470550135aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20a92885e44a9833950c786a7bb564bab6e01ede4a8d44d82163989d3f668b73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-03-03T17:31:12Z",
    "title_canon_sha256": "9de8b43145006ba730d79adc21b4b3216cd06431ecf717a0fb587dde7823b0ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0060",
    "kind": "arxiv",
    "version": 4
  }
}