Pith Number

pith:DSAD6DLD

pith:2016:DSAD6DLDG4JMOZ7PBWA2EGIKOK

not attested not anchored not stored refs pending

Solvability and limit complex bicharacteristics

Nils Dencker

arxiv:1612.08680 v2 · 2016-12-27 · 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{DSAD6DLDG4JMOZ7PBWA2EGIKOK}

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	2026-05-18T00:29:31.139434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c803f0d633712c767ef0d81a2190a72903487282ee1f44864e319bd1b5d6878

Aliases

arxiv: 1612.08680 · arxiv_version: 1612.08680v2 · doi: 10.48550/arxiv.1612.08680 · pith_short_12: DSAD6DLDG4JM · pith_short_16: DSAD6DLDG4JMOZ7P · pith_short_8: DSAD6DLD

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/DSAD6DLDG4JMOZ7PBWA2EGIKOK \
  | 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: 1c803f0d633712c767ef0d81a2190a72903487282ee1f44864e319bd1b5d6878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd31ebd822d3e56e0e13f3f8f3dce009bdd42731b8305105db113c1a28b64078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-27T16:57:55Z",
    "title_canon_sha256": "5b1f979b675d89b4c8c4fb8e40c31451a428f2813d94e5f5fe8c9de9444b789a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08680",
    "kind": "arxiv",
    "version": 2
  }
}