Pith Number

pith:GCSFEKC4

pith:2015:GCSFEKC4PTKQ3MWMMXNSS3AHTJ

not attested not anchored not stored refs pending

On microscopic origins of generalized gradient structures

Alexander Mielke, D.R. Michiel Renger, Mark A. Peletier, Matthias Liero

arxiv:1507.06322 v1 · 2015-07-22 · 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{GCSFEKC4PTKQ3MWMMXNSS3AHTJ}

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	2026-05-18T00:26:02.495181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a452285c7cd50db2cc65db296c079a65d987b4334e8630e3cd478cfc5d9b81

Aliases

arxiv: 1507.06322 · arxiv_version: 1507.06322v1 · doi: 10.48550/arxiv.1507.06322 · pith_short_12: GCSFEKC4PTKQ · pith_short_16: GCSFEKC4PTKQ3MWM · pith_short_8: GCSFEKC4

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/GCSFEKC4PTKQ3MWMMXNSS3AHTJ \
  | 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: 30a452285c7cd50db2cc65db296c079a65d987b4334e8630e3cd478cfc5d9b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97c0ea4dd07b3fd7f47407483457eae35013de98a174bbd08185cb0ba782f67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-22T20:02:12Z",
    "title_canon_sha256": "8af8d2504c4fb83916921f2221bd7538ef238ffd4b5e00b23c990a4249ad58a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06322",
    "kind": "arxiv",
    "version": 1
  }
}