Pith Number

pith:WU64CICL

pith:2010:WU64CICLVRNS2PQPIVEWASATZE

not attested not anchored not stored refs pending

Theory of characteristics for first order partial differential equations

Anders Kock

arxiv:1011.5586 v1 · 2010-11-25 · 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{WU64CICLVRNS2PQPIVEWASATZE}

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	2026-05-18T04:34:45.497652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b53dc1204bac5b2d3e0f4549604813c90f7a5a0868d05880e323e266f623024f

Aliases

arxiv: 1011.5586 · arxiv_version: 1011.5586v1 · doi: 10.48550/arxiv.1011.5586 · pith_short_12: WU64CICLVRNS · pith_short_16: WU64CICLVRNS2PQP · pith_short_8: WU64CICL

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/WU64CICLVRNS2PQPIVEWASATZE \
  | 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: b53dc1204bac5b2d3e0f4549604813c90f7a5a0868d05880e323e266f623024f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18178e271e3a7506d5f6c8bf8af9ec96b55c460f317665bbc5ea86b6a58b36cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-25T10:45:19Z",
    "title_canon_sha256": "b753febe01903ae6867501627a841be0909e3b4f19bcdd2b363f60b9e1632b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5586",
    "kind": "arxiv",
    "version": 1
  }
}