Pith Number

pith:EHTFG4B3

pith:2006:EHTFG4B335W35A5ZUXPXZK2SBG

not attested not anchored not stored refs pending

Characterization of two-scale gradient Young measures and application to homogenization

Jean-Francois Babadjian, Margarida Baia, Pedro M. Santos

arxiv:math/0611313 v2 · 2006-11-10 · 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{EHTFG4B335W35A5ZUXPXZK2SBG}

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	2026-05-18T03:08:25.495930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21e653703bdf6dbe83b9a5df7cab5209a1e6b874630522a9675e5697425d2c6c

Aliases

arxiv: math/0611313 · arxiv_version: math/0611313v2 · doi: 10.48550/arxiv.math/0611313 · pith_short_12: EHTFG4B335W3 · pith_short_16: EHTFG4B335W35A5Z · pith_short_8: EHTFG4B3

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/EHTFG4B335W35A5ZUXPXZK2SBG \
  | 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: 21e653703bdf6dbe83b9a5df7cab5209a1e6b874630522a9675e5697425d2c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6ea84517105945ffbdfb397a996e9d30d5a54688dd07b4447d08bd150a1471",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-11-10T13:14:28Z",
    "title_canon_sha256": "2c0dc34bbae899ff87f5bcefffc41bcf7718e8bef77b0fb12442a672f9e5decd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611313",
    "kind": "arxiv",
    "version": 2
  }
}