Pith Number

pith:TTA3IYT5

pith:2015:TTA3IYT5FXBSZX7SYLKZIBGXCC

not attested not anchored not stored refs pending

A priori estimates for solutions to anisotropic elliptic problems via symmetrization

A. Alberico, F. Feo, G. di Blasio

arxiv:1507.05871 v2 · 2015-07-21 · 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{TTA3IYT5FXBSZX7SYLKZIBGXCC}

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	2026-05-18T01:36:27.080443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc1b4627d2dc32cdff2c2d59404d71097df2911e18d4aef4a0c29e6799e27b4

Aliases

arxiv: 1507.05871 · arxiv_version: 1507.05871v2 · doi: 10.48550/arxiv.1507.05871 · pith_short_12: TTA3IYT5FXBS · pith_short_16: TTA3IYT5FXBSZX7S · pith_short_8: TTA3IYT5

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/TTA3IYT5FXBSZX7SYLKZIBGXCC \
  | 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: 9cc1b4627d2dc32cdff2c2d59404d71097df2911e18d4aef4a0c29e6799e27b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888669321f5fd4a2c11e6caa3a78b28350417a8da4126d7acd921adfaf863b93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-21T15:25:52Z",
    "title_canon_sha256": "db2f9969e2026a83821bcfca5bc86da2cdcbb73c4ca5965ac1da820ea33a5d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05871",
    "kind": "arxiv",
    "version": 2
  }
}