Pith Number

pith:RBMUTI6C

pith:2015:RBMUTI6C2RJQ2SYQKWXQYKN7QJ

not attested not anchored not stored refs pending

Inequalities of Babu\v{s}ka-Aziz and Friedrichs-Velte for differential forms

Martin Costabel (IRMAR)

arxiv:1507.08464 v1 · 2015-07-30 · 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{RBMUTI6C2RJQ2SYQKWXQYKN7QJ}

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	2026-05-18T01:36:06.374665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

885949a3c2d4530d4b1055af0c29bf824fee700d67db371ee907e2543ea35dfe

Aliases

arxiv: 1507.08464 · arxiv_version: 1507.08464v1 · doi: 10.48550/arxiv.1507.08464 · pith_short_12: RBMUTI6C2RJQ · pith_short_16: RBMUTI6C2RJQ2SYQ · pith_short_8: RBMUTI6C

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/RBMUTI6C2RJQ2SYQKWXQYKN7QJ \
  | 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: 885949a3c2d4530d4b1055af0c29bf824fee700d67db371ee907e2543ea35dfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728312639cb808681380eb31e27c4e3f0b2b5f8925ad51948eb4418541c72e1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-30T11:38:48Z",
    "title_canon_sha256": "3a4ee2cee6b2a5a025bd6c8114327c4ab6e717511be1f90e9bf79e816b0e3e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08464",
    "kind": "arxiv",
    "version": 1
  }
}