Pith Number

pith:CPUQ7Q7M

pith:2012:CPUQ7Q7MJU4VLE2VIMUI3TBLMK

not attested not anchored not stored refs pending

Some remarks on the continuity equation

Patrick Bernard (CEREMADE)

arxiv:1203.2895 v1 · 2012-03-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPUQ7Q7MJU4VLE2VIMUI3TBLMK}

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	2026-05-18T04:00:14.271828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e90fc3ec4d3955935543288dcc2b629e026ca979f69992aaeffebdb4aae7f5

Aliases

arxiv: 1203.2895 · arxiv_version: 1203.2895v1 · doi: 10.48550/arxiv.1203.2895 · pith_short_12: CPUQ7Q7MJU4V · pith_short_16: CPUQ7Q7MJU4VLE2V · pith_short_8: CPUQ7Q7M

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/CPUQ7Q7MJU4VLE2VIMUI3TBLMK \
  | 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: 13e90fc3ec4d3955935543288dcc2b629e026ca979f69992aaeffebdb4aae7f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aabe2f36294a0542e7db61949e6cef3095d8ff49e9b08a3161c2c54aa55758f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-13T19:17:14Z",
    "title_canon_sha256": "cc75be9a6bf617f07f730b11ed8fe0fb75bae97ec845f69f17bc0dc7b679d3c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2895",
    "kind": "arxiv",
    "version": 1
  }
}