Pith Number

pith:IM5L6RCY

pith:2016:IM5L6RCYHLSSJE2D7R3ENZYY7C

not attested not anchored not stored refs pending

Blow-up phenomena for gradient flows of discrete homogeneous functionals

Thomas Gallou\"et (CMLS), UMPA-ENSL), Vincent Calvez (NUMED

arxiv:1603.05380 v2 · 2016-03-17 · math.AP · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IM5L6RCYHLSSJE2D7R3ENZYY7C}

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	2026-05-18T01:18:22.861097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

433abf44583ae5249343fc7646e718f899694dc7b18be7782fb0f1f03b710c90

Aliases

arxiv: 1603.05380 · arxiv_version: 1603.05380v2 · doi: 10.48550/arxiv.1603.05380 · pith_short_12: IM5L6RCYHLSS · pith_short_16: IM5L6RCYHLSSJE2D · pith_short_8: IM5L6RCY

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/IM5L6RCYHLSSJE2D7R3ENZYY7C \
  | 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: 433abf44583ae5249343fc7646e718f899694dc7b18be7782fb0f1f03b710c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f5dbb78fe741951dd6216bd89a104ee8d2897475c6aa3b0eccca03ed5b8159",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-17T07:44:58Z",
    "title_canon_sha256": "c830e65a91bf4049f8e10eb417f92b5fbbd755988a4a2b81599d0b8be11bf433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05380",
    "kind": "arxiv",
    "version": 2
  }
}