Pith Number

pith:2SMP3WMC

pith:2015:2SMP3WMC5GTFF5UWHWIPT4ZEIK

not attested not anchored not stored refs pending

Gradient flows of time-dependent functionals in metric spaces and applications for PDEs

Julio C. Valencia-Guevara, Lucas C.F. Ferreira

arxiv:1509.04161 v1 · 2015-09-14 · 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{2SMP3WMC5GTFF5UWHWIPT4ZEIK}

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	2026-05-18T01:33:08.194226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d498fdd982e9a652f6963d90f9f3244281caa49ee2d7c44ec7b4d153f7f5c2c2

Aliases

arxiv: 1509.04161 · arxiv_version: 1509.04161v1 · doi: 10.48550/arxiv.1509.04161 · pith_short_12: 2SMP3WMC5GTF · pith_short_16: 2SMP3WMC5GTFF5UW · pith_short_8: 2SMP3WMC

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/2SMP3WMC5GTFF5UWHWIPT4ZEIK \
  | 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: d498fdd982e9a652f6963d90f9f3244281caa49ee2d7c44ec7b4d153f7f5c2c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1748236d807937abe93bfa0c47ccdc500d2483fd6eae85d6b5d15217841eab37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-14T15:41:55Z",
    "title_canon_sha256": "93bb1834dbf9ad3af433c00609b92b6c8d06683a6639fe989dc3944a7b97215d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04161",
    "kind": "arxiv",
    "version": 1
  }
}