Pith Number

pith:2TVRSYPY

pith:2012:2TVRSYPYG6NVKTAXPM3FSMGFJB

not attested not anchored not stored refs pending

Symmetry results for stable and monotone solutions to fibered systems of PDEs

Andrea Pinamonti, Serena Dipierro

arxiv:1212.0408 v1 · 2012-12-03 · 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{2TVRSYPYG6NVKTAXPM3FSMGFJB}

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	2026-05-18T03:39:17.601228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4eb1961f8379b554c177b365930c5485ae4cf5d1745298f112c8f35da26cc2b

Aliases

arxiv: 1212.0408 · arxiv_version: 1212.0408v1 · doi: 10.48550/arxiv.1212.0408 · pith_short_12: 2TVRSYPYG6NV · pith_short_16: 2TVRSYPYG6NVKTAX · pith_short_8: 2TVRSYPY

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/2TVRSYPYG6NVKTAXPM3FSMGFJB \
  | 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: d4eb1961f8379b554c177b365930c5485ae4cf5d1745298f112c8f35da26cc2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17baf8ca228047f0e1833a341ae4ed088cd7783c48880f66f6c58da3b36a9f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-03T15:01:50Z",
    "title_canon_sha256": "818adf46a0e2cb39ef1124659b67831e7006d68ea40e6a089f65f8a8df374ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0408",
    "kind": "arxiv",
    "version": 1
  }
}