Pith Number

pith:MFKGS6CL

pith:2006:MFKGS6CL535XLPBT7F3Q55GTAJ

not attested not anchored not stored refs pending

Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction

Jean-Francois Babadjian

arxiv:math/0612198 v2 · 2006-12-07 · 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{MFKGS6CL535XLPBT7F3Q55GTAJ}

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	2026-05-18T03:08:25.486202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

615469784beefb75bc33f9770ef4d30242fbd256c6c60f639caa57904a2327ac

Aliases

arxiv: math/0612198 · arxiv_version: math/0612198v2 · doi: 10.48550/arxiv.math/0612198 · pith_short_12: MFKGS6CL535X · pith_short_16: MFKGS6CL535XLPBT · pith_short_8: MFKGS6CL

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/MFKGS6CL535XLPBT7F3Q55GTAJ \
  | 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: 615469784beefb75bc33f9770ef4d30242fbd256c6c60f639caa57904a2327ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d58194d21d8092f3a1bf59f74d8ad6e5532758ee6b0552dbfd071318a9e25ad1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-12-07T17:19:25Z",
    "title_canon_sha256": "41827d6867acbade3f15b832e6c8625732bb3a0ac514ff4210e7d404958da8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612198",
    "kind": "arxiv",
    "version": 2
  }
}